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Finding the Fourth Proportional to 196.97, 271.88 and 122.31

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Solution

The fourth proportional to 196.97, 271.88 and 122.31 is: 168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 271.88 = 122.31 : x
  2. Step 2: Convert to fraction form
    196.97/271.88 = 122.31/x
  3. Step 3: Cross multiply
    196.97x = 271.88 × 122.31
  4. Step 4: Simplify right side
    196.97x = 33,253.03
  5. Step 5: Solve for x
    x = 33,253.03/196.97
  6. Step 6: Final answer
    x = 168.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.