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Finding the Fourth Proportional to 269.42, 404.15 and 123.17

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Solution

The fourth proportional to 269.42, 404.15 and 123.17 is: 184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.42 : 404.15 = 123.17 : x
  2. Step 2: Convert to fraction form
    269.42/404.15 = 123.17/x
  3. Step 3: Cross multiply
    269.42x = 404.15 × 123.17
  4. Step 4: Simplify right side
    269.42x = 49,776.52
  5. Step 5: Solve for x
    x = 49,776.52/269.42
  6. Step 6: Final answer
    x = 184.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.