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Finding the Fourth Proportional to 269.87, 404.17 and 208.80

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Solution

The fourth proportional to 269.87, 404.17 and 208.80 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.87 : 404.17 = 208.80 : x
  2. Step 2: Convert to fraction form
    269.87/404.17 = 208.80/x
  3. Step 3: Cross multiply
    269.87x = 404.17 × 208.80
  4. Step 4: Simplify right side
    269.87x = 84,390.17
  5. Step 5: Solve for x
    x = 84,390.17/269.87
  6. Step 6: Final answer
    x = 312.71

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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.