<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 On a map, the distance between two mountains is 312 inches. The actual distance between the mountains is some km. Ram is camped at a location that on the map is 25 inches from the base of the mountain. He is 10.897435897435898 km from the base of the mountain. What is the actual distance between the two mountains in km? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
136
On a map, the distance between two mountains is 312 inches. The actual distance between the mountains is some km. Ram is camped at a location that on the map is 25 inches from the base of the mountain. He is 10.897435897435898 km from the base of the mountain. What is the actual distance between the two mountains in km?
test