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Finding the Fourth Proportional to 269.86, 372.41 and 157.82

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Solution

The fourth proportional to 269.86, 372.41 and 157.82 is: 217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 372.41 = 157.82 : x
  2. Step 2: Convert to fraction form
    269.86/372.41 = 157.82/x
  3. Step 3: Cross multiply
    269.86x = 372.41 × 157.82
  4. Step 4: Simplify right side
    269.86x = 58,773.75
  5. Step 5: Solve for x
    x = 58,773.75/269.86
  6. Step 6: Final answer
    x = 217.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.