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Finding the Fourth Proportional to 269.82, 404.42 and 107.31

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Solution

The fourth proportional to 269.82, 404.42 and 107.31 is: 160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.82 : 404.42 = 107.31 : x
  2. Step 2: Convert to fraction form
    269.82/404.42 = 107.31/x
  3. Step 3: Cross multiply
    269.82x = 404.42 × 107.31
  4. Step 4: Simplify right side
    269.82x = 43,398.31
  5. Step 5: Solve for x
    x = 43,398.31/269.82
  6. Step 6: Final answer
    x = 160.84

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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.