
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
Given the configuration $AB\parallel CD\parallel EF$, with line segments forming the said parallels in the following distances: $AB = 300$ cm and $DC = 180$ cm. Line segment $BC$ connects $B$ from $AB$ to $C$ from $DC$, measured as $BC = 200$ cm. Assume now that point $E$ is $\frac{3}{5}$ along $BC$ from $B$ towards $C$, and point $F$ is vertically aligned with $E$ on $DC$. Find the length of $EF$ in centimeters.

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