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Finding the Fourth Proportional to 178.50, 267.80 and 82.38

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Solution

The fourth proportional to 178.50, 267.80 and 82.38 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 267.80 = 82.38 : x
  2. Step 2: Convert to fraction form
    178.50/267.80 = 82.38/x
  3. Step 3: Cross multiply
    178.50x = 267.80 × 82.38
  4. Step 4: Simplify right side
    178.50x = 22,061.36
  5. Step 5: Solve for x
    x = 22,061.36/178.50
  6. Step 6: Final answer
    x = 123.59

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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.