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Finding the Fourth Proportional to 269.38, 404.07 and 178.66

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Solution

The fourth proportional to 269.38, 404.07 and 178.66 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.38 : 404.07 = 178.66 : x
  2. Step 2: Convert to fraction form
    269.38/404.07 = 178.66/x
  3. Step 3: Cross multiply
    269.38x = 404.07 × 178.66
  4. Step 4: Simplify right side
    269.38x = 72,189.13
  5. Step 5: Solve for x
    x = 72,189.13/269.38
  6. Step 6: Final answer
    x = 267.98

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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.