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Finding the Fourth Proportional to 269.67, 372.14 and 159.14

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Solution

The fourth proportional to 269.67, 372.14 and 159.14 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.67 : 372.14 = 159.14 : x
  2. Step 2: Convert to fraction form
    269.67/372.14 = 159.14/x
  3. Step 3: Cross multiply
    269.67x = 372.14 × 159.14
  4. Step 4: Simplify right side
    269.67x = 59,223.09
  5. Step 5: Solve for x
    x = 59,223.09/269.67
  6. Step 6: Final answer
    x = 219.61

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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.