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Finding the Fourth Proportional to 269.91, 404.34 and 128.99

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Solution

The fourth proportional to 269.91, 404.34 and 128.99 is: 193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.91 : 404.34 = 128.99 : x
  2. Step 2: Convert to fraction form
    269.91/404.34 = 128.99/x
  3. Step 3: Cross multiply
    269.91x = 404.34 × 128.99
  4. Step 4: Simplify right side
    269.91x = 52,156.34
  5. Step 5: Solve for x
    x = 52,156.34/269.91
  6. Step 6: Final answer
    x = 193.24

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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.