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Finding the Fourth Proportional to 202.98, 280.12 and 115.66

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Solution

The fourth proportional to 202.98, 280.12 and 115.66 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 280.12 = 115.66 : x
  2. Step 2: Convert to fraction form
    202.98/280.12 = 115.66/x
  3. Step 3: Cross multiply
    202.98x = 280.12 × 115.66
  4. Step 4: Simplify right side
    202.98x = 32,398.68
  5. Step 5: Solve for x
    x = 32,398.68/202.98
  6. Step 6: Final answer
    x = 159.62

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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.