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Finding the Fourth Proportional to 269.90, 404.87 and 205.74

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Solution

The fourth proportional to 269.90, 404.87 and 205.74 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.90 : 404.87 = 205.74 : x
  2. Step 2: Convert to fraction form
    269.90/404.87 = 205.74/x
  3. Step 3: Cross multiply
    269.90x = 404.87 × 205.74
  4. Step 4: Simplify right side
    269.90x = 83,296.93
  5. Step 5: Solve for x
    x = 83,296.93/269.90
  6. Step 6: Final answer
    x = 308.62

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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.