If something is 'in keeping with' something else it means it is in harmony with or shares aspects or qualities with another thing. If something is in keeping with something else it is suitable for that particular situation or use.

1. The design of the house was very much in keeping with the style of the other houses in the neighborhood. 
2. In keeping with family tradition, they went to a hotel for their Christmas dinner.

1. The employee's actions were not in keeping with the principles of the company, and so they had no choice but to let him go. 
2. The challenge of decorating the hotel was to have modern luxury in keeping with the art nouveau style of the building.