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Finding the Fourth Proportional to 203.97, 281.35 and 129.28

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Solution

The fourth proportional to 203.97, 281.35 and 129.28 is: 178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.97 : 281.35 = 129.28 : x
  2. Step 2: Convert to fraction form
    203.97/281.35 = 129.28/x
  3. Step 3: Cross multiply
    203.97x = 281.35 × 129.28
  4. Step 4: Simplify right side
    203.97x = 36,373.74
  5. Step 5: Solve for x
    x = 36,373.74/203.97
  6. Step 6: Final answer
    x = 178.33

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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.