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Finding the Fourth Proportional to 204.31, 281.59 and 142.00

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Solution

The fourth proportional to 204.31, 281.59 and 142.00 is: 195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.31 : 281.59 = 142.00 : x
  2. Step 2: Convert to fraction form
    204.31/281.59 = 142.00/x
  3. Step 3: Cross multiply
    204.31x = 281.59 × 142.00
  4. Step 4: Simplify right side
    204.31x = 39,985.52
  5. Step 5: Solve for x
    x = 39,985.52/204.31
  6. Step 6: Final answer
    x = 195.71

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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.