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Finding the Fourth Proportional to 201.77, 278.39 and 136.27

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Solution

The fourth proportional to 201.77, 278.39 and 136.27 is: 188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.77 : 278.39 = 136.27 : x
  2. Step 2: Convert to fraction form
    201.77/278.39 = 136.27/x
  3. Step 3: Cross multiply
    201.77x = 278.39 × 136.27
  4. Step 4: Simplify right side
    201.77x = 37,935.74
  5. Step 5: Solve for x
    x = 37,935.74/201.77
  6. Step 6: Final answer
    x = 188.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.