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Finding the Fourth Proportional to 178.06, 267.11 and 62.56

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Solution

The fourth proportional to 178.06, 267.11 and 62.56 is: 93.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.06 : 267.11 = 62.56 : x
  2. Step 2: Convert to fraction form
    178.06/267.11 = 62.56/x
  3. Step 3: Cross multiply
    178.06x = 267.11 × 62.56
  4. Step 4: Simplify right side
    178.06x = 16,710.40
  5. Step 5: Solve for x
    x = 16,710.40/178.06
  6. Step 6: Final answer
    x = 93.85

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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.