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Finding the Fourth Proportional to 203.28, 281.97 and 196

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Solution

The fourth proportional to 203.28, 281.97 and 196 is: 271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.28 : 281.97 = 196 : x
  2. Step 2: Convert to fraction form
    203.28/281.97 = 196/x
  3. Step 3: Cross multiply
    203.28x = 281.97 × 196
  4. Step 4: Simplify right side
    203.28x = 55,266.12
  5. Step 5: Solve for x
    x = 55,266.12/203.28
  6. Step 6: Final answer
    x = 271.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.