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Finding the Fourth Proportional to 178.60, 267.84 and 82.40

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Solution

The fourth proportional to 178.60, 267.84 and 82.40 is: 123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.60 : 267.84 = 82.40 : x
  2. Step 2: Convert to fraction form
    178.60/267.84 = 82.40/x
  3. Step 3: Cross multiply
    178.60x = 267.84 × 82.40
  4. Step 4: Simplify right side
    178.60x = 22,070.02
  5. Step 5: Solve for x
    x = 22,070.02/178.60
  6. Step 6: Final answer
    x = 123.57

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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.