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Finding the Fourth Proportional to 178.38, 267.84 and 97.38

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Solution

The fourth proportional to 178.38, 267.84 and 97.38 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.38 : 267.84 = 97.38 : x
  2. Step 2: Convert to fraction form
    178.38/267.84 = 97.38/x
  3. Step 3: Cross multiply
    178.38x = 267.84 × 97.38
  4. Step 4: Simplify right side
    178.38x = 26,082.26
  5. Step 5: Solve for x
    x = 26,082.26/178.38
  6. Step 6: Final answer
    x = 146.22

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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.