**Core Concept**
The management of preterm labor in a primigravida at 37 weeks of gestation involves identifying and addressing the underlying cause of irregular uterine contractions, as well as preventing preterm birth. This requires a thorough assessment of the patient's medical and obstetric history, as well as the current clinical presentation.

**Why the Correct Answer is Right**
The correct management of this patient involves administering corticosteroids to promote fetal lung maturation and reduce the risk of respiratory distress syndrome. This is because corticosteroids have been shown to accelerate fetal lung development, reducing the risk of respiratory complications in preterm infants. Additionally, administering corticosteroids may also reduce the risk of intraventricular hemorrhage and necrotizing enterocolitis in preterm infants. Furthermore, the patient should be placed on bed rest and continuous fetal monitoring to closely observe fetal well-being.

**Why Each Wrong Option is Incorrect**
**Option A:** Administering magnesium sulfate would be contraindicated in this scenario, as it is typically used for fetal neuroprotection in cases of placental abruption or fetal distress. Magnesium sulfate is not indicated for preterm labor without fetal distress.
**Option B:** Induction of labor would be premature, as the patient is only 1 cm dilated and poorly effaced, and the baby is not yet mature enough to withstand the stresses of labor.
**Option C:** Administering ritodrine or other tocolytics would be inappropriate, as they are used to suppress uterine contractions in cases of preterm labor, but do not address the underlying cause of preterm labor or promote fetal lung maturation.

**Clinical Pearl / High-Yield Fact**
Corticosteroids should be administered to all women at risk of preterm birth between 24 and 34 weeks of gestation, regardless of the presence of symptoms, to promote fetal lung maturation and reduce the risk of respiratory complications.

**Correct Answer:** C. Administer corticosteroids to promote fetal lung maturation.