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Finding the Fourth Proportional to 202.97, 280.13 and 120.15

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Solution

The fourth proportional to 202.97, 280.13 and 120.15 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.97 : 280.13 = 120.15 : x
  2. Step 2: Convert to fraction form
    202.97/280.13 = 120.15/x
  3. Step 3: Cross multiply
    202.97x = 280.13 × 120.15
  4. Step 4: Simplify right side
    202.97x = 33,657.02
  5. Step 5: Solve for x
    x = 33,657.02/202.97
  6. Step 6: Final answer
    x = 165.82

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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.