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Finding the Fourth Proportional to 197.42, 295.89 and 81.71

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Solution

The fourth proportional to 197.42, 295.89 and 81.71 is: 122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 295.89 = 81.71 : x
  2. Step 2: Convert to fraction form
    197.42/295.89 = 81.71/x
  3. Step 3: Cross multiply
    197.42x = 295.89 × 81.71
  4. Step 4: Simplify right side
    197.42x = 24,177.33
  5. Step 5: Solve for x
    x = 24,177.33/197.42
  6. Step 6: Final answer
    x = 122.47

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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.