Conversation so far:
Was chapter 94 eventful?
This part mostly concerns romantic events at the court of Louis XIV.
How does it progress from there to chapter 180?
Fearing a tarnishing of Louise's reputation by affairs at court, Raoul seeks to marry her.
Do they get married?
The king, however, refuses to sanction the marriage because Louise is of inferior social status, and so marriage is delayed.
What do they do during the delay?
the struggle for power begins between Fouquet and Colbert.
Louis attempts to impoverish Fouquet by asking for money.
Is successful in doing so?
during the fete, the king overhears Louise confess her attraction for him to friends.

Question: Then what happens?
Self-contained rewrite: What happens after the king overhears Louise confess her attraction?