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Finding the Fourth Proportional to 269.71, 404.97 and 177.44

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Solution

The fourth proportional to 269.71, 404.97 and 177.44 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.71 : 404.97 = 177.44 : x
  2. Step 2: Convert to fraction form
    269.71/404.97 = 177.44/x
  3. Step 3: Cross multiply
    269.71x = 404.97 × 177.44
  4. Step 4: Simplify right side
    269.71x = 71,857.46
  5. Step 5: Solve for x
    x = 71,857.46/269.71
  6. Step 6: Final answer
    x = 266.42

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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.