Associated is a form of Associate. Remember is a type of Associate. you would Write because Remember. Write is related to Post. 
Equal is related to One. One is a synonym of Right. Right is the opposite of Duty. Duty is a synonym of Obligation. 
Associated --FormOf--> Associate <--IsA-- Remember <--MotivatedByGoal-- Write <--RelatedTo--> Post 
Equal <--RelatedTo--> One <--Synonym--> Right <--Antonym--> Duty <--Synonym--> Obligation 