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Finding the Fourth Proportional to 269.75, 404.66 and 107.42

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Solution

The fourth proportional to 269.75, 404.66 and 107.42 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.75 : 404.66 = 107.42 : x
  2. Step 2: Convert to fraction form
    269.75/404.66 = 107.42/x
  3. Step 3: Cross multiply
    269.75x = 404.66 × 107.42
  4. Step 4: Simplify right side
    269.75x = 43,466.82
  5. Step 5: Solve for x
    x = 43,466.82/269.75
  6. Step 6: Final answer
    x = 161.14

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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.