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Finding the Fourth Proportional to 203.13, 280.28 and 115.78

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Solution

The fourth proportional to 203.13, 280.28 and 115.78 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.13 : 280.28 = 115.78 : x
  2. Step 2: Convert to fraction form
    203.13/280.28 = 115.78/x
  3. Step 3: Cross multiply
    203.13x = 280.28 × 115.78
  4. Step 4: Simplify right side
    203.13x = 32,450.82
  5. Step 5: Solve for x
    x = 32,450.82/203.13
  6. Step 6: Final answer
    x = 159.75

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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.