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Finding the Fourth Proportional to 178.59, 267.88 and 82.40

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Solution

The fourth proportional to 178.59, 267.88 and 82.40 is: 123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 267.88 = 82.40 : x
  2. Step 2: Convert to fraction form
    178.59/267.88 = 82.40/x
  3. Step 3: Cross multiply
    178.59x = 267.88 × 82.40
  4. Step 4: Simplify right side
    178.59x = 22,073.31
  5. Step 5: Solve for x
    x = 22,073.31/178.59
  6. Step 6: Final answer
    x = 123.60

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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.