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Finding the Fourth Proportional to 178.59, 267.84 and 61.44

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Solution

The fourth proportional to 178.59, 267.84 and 61.44 is: 92.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 267.84 = 61.44 : x
  2. Step 2: Convert to fraction form
    178.59/267.84 = 61.44/x
  3. Step 3: Cross multiply
    178.59x = 267.84 × 61.44
  4. Step 4: Simplify right side
    178.59x = 16,456.48
  5. Step 5: Solve for x
    x = 16,456.48/178.59
  6. Step 6: Final answer
    x = 92.15

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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.