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Finding the Fourth Proportional to 269.59, 404.09 and 123.42

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Solution

The fourth proportional to 269.59, 404.09 and 123.42 is: 184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.59 : 404.09 = 123.42 : x
  2. Step 2: Convert to fraction form
    269.59/404.09 = 123.42/x
  3. Step 3: Cross multiply
    269.59x = 404.09 × 123.42
  4. Step 4: Simplify right side
    269.59x = 49,872.79
  5. Step 5: Solve for x
    x = 49,872.79/269.59
  6. Step 6: Final answer
    x = 184.99

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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.