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Finding the Fourth Proportional to 204.58, 281.88 and 138.97

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Solution

The fourth proportional to 204.58, 281.88 and 138.97 is: 191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.58 : 281.88 = 138.97 : x
  2. Step 2: Convert to fraction form
    204.58/281.88 = 138.97/x
  3. Step 3: Cross multiply
    204.58x = 281.88 × 138.97
  4. Step 4: Simplify right side
    204.58x = 39,174.09
  5. Step 5: Solve for x
    x = 39,174.09/204.58
  6. Step 6: Final answer
    x = 191.48

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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.