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Finding the Fourth Proportional to 269.72, 404.65 and 77.34

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Solution

The fourth proportional to 269.72, 404.65 and 77.34 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.72 : 404.65 = 77.34 : x
  2. Step 2: Convert to fraction form
    269.72/404.65 = 77.34/x
  3. Step 3: Cross multiply
    269.72x = 404.65 × 77.34
  4. Step 4: Simplify right side
    269.72x = 31,297.25
  5. Step 5: Solve for x
    x = 31,297.25/269.72
  6. Step 6: Final answer
    x = 116.04

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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.