Final answer:
The Third Amendment in the Bill of Rights, related to not having to quarter soldiers in private homes, was a reaction to British policies during the Revolutionary War, such as the Quartering Act.
Step-by-step explanation:
The amendment in the Bill of Rights that resulted from continued requirements for the colonists to house, or "quarter," British soldiers at the colonists' expense is the Third Amendment. This amendment was directly influenced by the Quartering Act, which mandated that American colonists provide housing and accommodations to British soldiers. The inclusion of the Third Amendment reflected the colonists' strong desire to never again be forced into such a situation, securing the privacy of their homes against military intrusion except under extraordinary circumstances.