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Finding the Fourth Proportional to 203.24, 280.46 and 115.90

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Solution

The fourth proportional to 203.24, 280.46 and 115.90 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.24 : 280.46 = 115.90 : x
  2. Step 2: Convert to fraction form
    203.24/280.46 = 115.90/x
  3. Step 3: Cross multiply
    203.24x = 280.46 × 115.90
  4. Step 4: Simplify right side
    203.24x = 32,505.31
  5. Step 5: Solve for x
    x = 32,505.31/203.24
  6. Step 6: Final answer
    x = 159.94

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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.