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Finding the Fourth Proportional to 269.30, 404.08 and 200.96

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Solution

The fourth proportional to 269.30, 404.08 and 200.96 is: 301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.30 : 404.08 = 200.96 : x
  2. Step 2: Convert to fraction form
    269.30/404.08 = 200.96/x
  3. Step 3: Cross multiply
    269.30x = 404.08 × 200.96
  4. Step 4: Simplify right side
    269.30x = 81,203.92
  5. Step 5: Solve for x
    x = 81,203.92/269.30
  6. Step 6: Final answer
    x = 301.54

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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.