Kathak is a classical dance form from North India (Uttar Pradesh), not Rajasthan. Kalbeliya and Ghoomar are iconic Rajasthani folk dances, while KathPutli refers to the puppetry art of Rajasthan.
Kathak originated in North India generally (associated with Uttar Pradesh courts and temples) rather than being a folk dance native to Rajasthan. Ghoomar, Kalbeliya, and Kathputli dance are all traditional Rajasthani folk forms, making Kathak the odd one out.