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Finding the Fourth Proportional to 178.09, 267.18 and 75.38

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Solution

The fourth proportional to 178.09, 267.18 and 75.38 is: 113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.09 : 267.18 = 75.38 : x
  2. Step 2: Convert to fraction form
    178.09/267.18 = 75.38/x
  3. Step 3: Cross multiply
    178.09x = 267.18 × 75.38
  4. Step 4: Simplify right side
    178.09x = 20,139.91
  5. Step 5: Solve for x
    x = 20,139.91/178.09
  6. Step 6: Final answer
    x = 113.09

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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.