A ceiling structure includes a suspended framework having a plurality of main runners and a plurality of cross runners interconnected to define an array of tile receiving openings and a plurality of ceiling tiles positioned within the array of tile receiving openings, each of the plurality of ceiling tiles having a plurality of magnets positioned at a peripheral portion thereof which are configured to magnetically couple the ceiling tile within a respective one of the tile receiving openings with the ceiling tile abutting a respective mounting frame. Related methods are also provided.