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Finding the Fourth Proportional to 269.71, 372.12 and 159.21

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Solution

The fourth proportional to 269.71, 372.12 and 159.21 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.71 : 372.12 = 159.21 : x
  2. Step 2: Convert to fraction form
    269.71/372.12 = 159.21/x
  3. Step 3: Cross multiply
    269.71x = 372.12 × 159.21
  4. Step 4: Simplify right side
    269.71x = 59,246.09
  5. Step 5: Solve for x
    x = 59,246.09/269.71
  6. Step 6: Final answer
    x = 219.66

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