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Finding the Fourth Proportional to 204.28, 281.90 and 130.62

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Solution

The fourth proportional to 204.28, 281.90 and 130.62 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.28 : 281.90 = 130.62 : x
  2. Step 2: Convert to fraction form
    204.28/281.90 = 130.62/x
  3. Step 3: Cross multiply
    204.28x = 281.90 × 130.62
  4. Step 4: Simplify right side
    204.28x = 36,821.78
  5. Step 5: Solve for x
    x = 36,821.78/204.28
  6. Step 6: Final answer
    x = 180.25

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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.