1. fluting Biedermeier 2. panetiere Louis XV 3. Cabriole leg Louis XIV 4. wainscot Spanish 5. baroque Provincial 6. Pennsylvania Dutch Napoleon 7. Empire Louis XVI 8. neutral style German peasant

Sorting the furniture style of the given era's and different cultures, in given order.

Explanation:

1.) fluting 1.) Louis XVI

2.) panetiere 2.) Provincial

3.) Cabriole leg 3.) Louis XV

4.) wainscot 4.) Spanish

5.) baroque 5.) Louis XIV

6.) Pennsylvania dutch 6.) German peasant

7.) Empire 7.) Napoleon

8.) neutral style 8.) Biedermeier