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Finding the Fourth Proportional to 178.58, 267.78 and 82.31

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Solution

The fourth proportional to 178.58, 267.78 and 82.31 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.58 : 267.78 = 82.31 : x
  2. Step 2: Convert to fraction form
    178.58/267.78 = 82.31/x
  3. Step 3: Cross multiply
    178.58x = 267.78 × 82.31
  4. Step 4: Simplify right side
    178.58x = 22,040.97
  5. Step 5: Solve for x
    x = 22,040.97/178.58
  6. Step 6: Final answer
    x = 123.42

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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.