Concept:Apply the same mathematical operation to the first number of each pair to obtain the second number.Explanation:The given relationship is X:128::146:Y.Observe that 146×2−200=292−200=92.So the rule is: second number = first number ×2−200.Therefore, for the pair 146:Y, we get Y=92.Now, using the same rule for X:128, we need X×2−200=128.So, X×2=128+200=328.Thus, X=328÷2=164.So the pair becomes 164:128::146:92.Answer:X=164, Y=92Option A is correct.