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Finding the Fourth Proportional to 178.67, 267.80 and 82.28

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Solution

The fourth proportional to 178.67, 267.80 and 82.28 is: 123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.67 : 267.80 = 82.28 : x
  2. Step 2: Convert to fraction form
    178.67/267.80 = 82.28/x
  3. Step 3: Cross multiply
    178.67x = 267.80 × 82.28
  4. Step 4: Simplify right side
    178.67x = 22,034.58
  5. Step 5: Solve for x
    x = 22,034.58/178.67
  6. Step 6: Final answer
    x = 123.33

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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.