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Finding the Fourth Proportional to 269.27, 404.14 and 178.04

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Solution

The fourth proportional to 269.27, 404.14 and 178.04 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.27 : 404.14 = 178.04 : x
  2. Step 2: Convert to fraction form
    269.27/404.14 = 178.04/x
  3. Step 3: Cross multiply
    269.27x = 404.14 × 178.04
  4. Step 4: Simplify right side
    269.27x = 71,951.14
  5. Step 5: Solve for x
    x = 71,951.14/269.27
  6. Step 6: Final answer
    x = 267.20

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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.