Final answer:
Betamethasone is the medication administered to a woman in preterm labor to assist the fetal lungs to mature.
Step-by-step explanation:
The medication that is administered to a woman in preterm labor to assist the fetal lungs to mature is Betamethasone. Betamethasone is a corticosteroid medication that helps stimulate the production of surfactant in the fetal lungs, which is important for lung development and function. It helps reduce the risk of respiratory distress syndrome in premature infants.