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Finding the Fourth Proportional to 203.62, 281 and 116.30

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Solution

The fourth proportional to 203.62, 281 and 116.30 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.62 : 281 = 116.30 : x
  2. Step 2: Convert to fraction form
    203.62/281 = 116.30/x
  3. Step 3: Cross multiply
    203.62x = 281 × 116.30
  4. Step 4: Simplify right side
    203.62x = 32,680.30
  5. Step 5: Solve for x
    x = 32,680.30/203.62
  6. Step 6: Final answer
    x = 160.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.