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Finding the Fourth Proportional to 196.71, 294.86 and 81.11

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Solution

The fourth proportional to 196.71, 294.86 and 81.11 is: 121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.71 : 294.86 = 81.11 : x
  2. Step 2: Convert to fraction form
    196.71/294.86 = 81.11/x
  3. Step 3: Cross multiply
    196.71x = 294.86 × 81.11
  4. Step 4: Simplify right side
    196.71x = 23,917.03
  5. Step 5: Solve for x
    x = 23,917.03/196.71
  6. Step 6: Final answer
    x = 121.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.