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Finding the Fourth Proportional to 178.10, 267.14 and 81.90

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Solution

The fourth proportional to 178.10, 267.14 and 81.90 is: 122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 267.14 = 81.90 : x
  2. Step 2: Convert to fraction form
    178.10/267.14 = 81.90/x
  3. Step 3: Cross multiply
    178.10x = 267.14 × 81.90
  4. Step 4: Simplify right side
    178.10x = 21,878.36
  5. Step 5: Solve for x
    x = 21,878.36/178.10
  6. Step 6: Final answer
    x = 122.85

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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.