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Finding the Fourth Proportional to 269.68, 372.16 and 159.17

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Solution

The fourth proportional to 269.68, 372.16 and 159.17 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 372.16 = 159.17 : x
  2. Step 2: Convert to fraction form
    269.68/372.16 = 159.17/x
  3. Step 3: Cross multiply
    269.68x = 372.16 × 159.17
  4. Step 4: Simplify right side
    269.68x = 59,236.71
  5. Step 5: Solve for x
    x = 59,236.71/269.68
  6. Step 6: Final answer
    x = 219.66

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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.