Replace FilePath with base::FilePath in some more top level directories.

sync/internal_api/public/test/fake_sync_manager.h

Index: sync/internal_api/public/test/fake_sync_manager.h
diff --git a/sync/internal_api/public/test/fake_sync_manager.h b/sync/internal_api/public/test/fake_sync_manager.h
index 74aadd7fb72ea1f62f180a9611651ebfccd261ee..49c443f738b5533a78c0b2b7e6168af990814cf1 100644
--- a/sync/internal_api/public/test/fake_sync_manager.h
+++ b/sync/internal_api/public/test/fake_sync_manager.h
@@ -70,7 +70,7 @@ class FakeSyncManager : public SyncManager {
   // Note: we treat whatever message loop this is called from as the sync
   // loop for purposes of callbacks.
   virtual void Init(
-      const FilePath& database_location,
+      const base::FilePath& database_location,
       const WeakHandle<JsEventHandler>& event_handler,
       const std::string& sync_server_and_path,
       int sync_server_port,