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Finding the Fourth Proportional to 178.14, 267.18 and 49.86

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Solution

The fourth proportional to 178.14, 267.18 and 49.86 is: 74.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 267.18 = 49.86 : x
  2. Step 2: Convert to fraction form
    178.14/267.18 = 49.86/x
  3. Step 3: Cross multiply
    178.14x = 267.18 × 49.86
  4. Step 4: Simplify right side
    178.14x = 13,321.59
  5. Step 5: Solve for x
    x = 13,321.59/178.14
  6. Step 6: Final answer
    x = 74.78

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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.