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Finding the Fourth Proportional to 203.62, 280.68 and 129.80

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Solution

The fourth proportional to 203.62, 280.68 and 129.80 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.62 : 280.68 = 129.80 : x
  2. Step 2: Convert to fraction form
    203.62/280.68 = 129.80/x
  3. Step 3: Cross multiply
    203.62x = 280.68 × 129.80
  4. Step 4: Simplify right side
    203.62x = 36,432.26
  5. Step 5: Solve for x
    x = 36,432.26/203.62
  6. Step 6: Final answer
    x = 178.92

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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.