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Finding the Fourth Proportional to 269.31, 404.02 and 178.09

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Solution

The fourth proportional to 269.31, 404.02 and 178.09 is: 267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.31 : 404.02 = 178.09 : x
  2. Step 2: Convert to fraction form
    269.31/404.02 = 178.09/x
  3. Step 3: Cross multiply
    269.31x = 404.02 × 178.09
  4. Step 4: Simplify right side
    269.31x = 71,949.46
  5. Step 5: Solve for x
    x = 71,949.46/269.31
  6. Step 6: Final answer
    x = 267.16

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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.