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Finding the Fourth Proportional to 269.86, 372.43 and 157.84

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Solution

The fourth proportional to 269.86, 372.43 and 157.84 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 372.43 = 157.84 : x
  2. Step 2: Convert to fraction form
    269.86/372.43 = 157.84/x
  3. Step 3: Cross multiply
    269.86x = 372.43 × 157.84
  4. Step 4: Simplify right side
    269.86x = 58,784.35
  5. Step 5: Solve for x
    x = 58,784.35/269.86
  6. Step 6: Final answer
    x = 217.83

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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.