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Finding the Fourth Proportional to 178.66, 267.83 and 82.42

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Solution

The fourth proportional to 178.66, 267.83 and 82.42 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.66 : 267.83 = 82.42 : x
  2. Step 2: Convert to fraction form
    178.66/267.83 = 82.42/x
  3. Step 3: Cross multiply
    178.66x = 267.83 × 82.42
  4. Step 4: Simplify right side
    178.66x = 22,074.55
  5. Step 5: Solve for x
    x = 22,074.55/178.66
  6. Step 6: Final answer
    x = 123.56

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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.