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Finding the Fourth Proportional to 204.31, 281.80 and 142.16

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Solution

The fourth proportional to 204.31, 281.80 and 142.16 is: 196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.31 : 281.80 = 142.16 : x
  2. Step 2: Convert to fraction form
    204.31/281.80 = 142.16/x
  3. Step 3: Cross multiply
    204.31x = 281.80 × 142.16
  4. Step 4: Simplify right side
    204.31x = 40,059.86
  5. Step 5: Solve for x
    x = 40,059.86/204.31
  6. Step 6: Final answer
    x = 196.07

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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.