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Finding the Fourth Proportional to 202.92, 280.17 and 159.18

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Solution

The fourth proportional to 202.92, 280.17 and 159.18 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 280.17 = 159.18 : x
  2. Step 2: Convert to fraction form
    202.92/280.17 = 159.18/x
  3. Step 3: Cross multiply
    202.92x = 280.17 × 159.18
  4. Step 4: Simplify right side
    202.92x = 44,597.46
  5. Step 5: Solve for x
    x = 44,597.46/202.92
  6. Step 6: Final answer
    x = 219.78

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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.