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Finding the Fourth Proportional to 204.09, 281.31 and 141.83

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Solution

The fourth proportional to 204.09, 281.31 and 141.83 is: 195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.09 : 281.31 = 141.83 : x
  2. Step 2: Convert to fraction form
    204.09/281.31 = 141.83/x
  3. Step 3: Cross multiply
    204.09x = 281.31 × 141.83
  4. Step 4: Simplify right side
    204.09x = 39,896.79
  5. Step 5: Solve for x
    x = 39,896.79/204.09
  6. Step 6: Final answer
    x = 195.49

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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.