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Finding the Fourth Proportional to 203.91, 281.40 and 116.59

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Solution

The fourth proportional to 203.91, 281.40 and 116.59 is: 160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.91 : 281.40 = 116.59 : x
  2. Step 2: Convert to fraction form
    203.91/281.40 = 116.59/x
  3. Step 3: Cross multiply
    203.91x = 281.40 × 116.59
  4. Step 4: Simplify right side
    203.91x = 32,807.72
  5. Step 5: Solve for x
    x = 32,807.72/203.91
  6. Step 6: Final answer
    x = 160.89

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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.