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Finding the Fourth Proportional to 269.44, 404.22 and 77.06

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Solution

The fourth proportional to 269.44, 404.22 and 77.06 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.44 : 404.22 = 77.06 : x
  2. Step 2: Convert to fraction form
    269.44/404.22 = 77.06/x
  3. Step 3: Cross multiply
    269.44x = 404.22 × 77.06
  4. Step 4: Simplify right side
    269.44x = 31,150.49
  5. Step 5: Solve for x
    x = 31,150.49/269.44
  6. Step 6: Final answer
    x = 115.61

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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.