
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider three lines $AB \parallel CD \parallel EF \parallel GH$, where $AB = 300$ cm and $CD = 200$ cm. The line segment $EF$ is halfway between $AB$ and $CD$, and $GH$ another parallel line a quarter distance between $EF$ and $CD$. What is the length of $GH$ in centimeters?

Present the answer in LaTex format: \boxed{Your answer}
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