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Finding the Fourth Proportional to 197.41, 296.20 and 81.89

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Solution

The fourth proportional to 197.41, 296.20 and 81.89 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.41 : 296.20 = 81.89 : x
  2. Step 2: Convert to fraction form
    197.41/296.20 = 81.89/x
  3. Step 3: Cross multiply
    197.41x = 296.20 × 81.89
  4. Step 4: Simplify right side
    197.41x = 24,254.34
  5. Step 5: Solve for x
    x = 24,254.34/197.41
  6. Step 6: Final answer
    x = 122.87

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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.