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Finding the Fourth Proportional to 269.79, 404.84 and 224.69

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Solution

The fourth proportional to 269.79, 404.84 and 224.69 is: 337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.79 : 404.84 = 224.69 : x
  2. Step 2: Convert to fraction form
    269.79/404.84 = 224.69/x
  3. Step 3: Cross multiply
    269.79x = 404.84 × 224.69
  4. Step 4: Simplify right side
    269.79x = 90,963.50
  5. Step 5: Solve for x
    x = 90,963.50/269.79
  6. Step 6: Final answer
    x = 337.16

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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.