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Finding the Fourth Proportional to 351.87, 527.49 and 178.39

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Solution

The fourth proportional to 351.87, 527.49 and 178.39 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.87 : 527.49 = 178.39 : x
  2. Step 2: Convert to fraction form
    351.87/527.49 = 178.39/x
  3. Step 3: Cross multiply
    351.87x = 527.49 × 178.39
  4. Step 4: Simplify right side
    351.87x = 94,098.94
  5. Step 5: Solve for x
    x = 94,098.94/351.87
  6. Step 6: Final answer
    x = 267.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.