Meaning of the word Propitiate is Win or regain the favour of (a god, spirit, or person) by doing something that pleases them.
Meaning of the word Appreciate is Recognize the full worth of or be grateful(for something)
Meaning of the word Appease is Pacify or placate (someone) by acceding to their demands.
Meaning of the word Conciliate is gain (esteem or goodwill).
Thus, as we can see Propitiate, Appease and Conciliate mean the same whereas Appreciate is different in meaning.
Hence, option B is the correct answer.