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Finding the Fourth Proportional to 197.28, 295.68 and 115.92

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Solution

The fourth proportional to 197.28, 295.68 and 115.92 is: 173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.28 : 295.68 = 115.92 : x
  2. Step 2: Convert to fraction form
    197.28/295.68 = 115.92/x
  3. Step 3: Cross multiply
    197.28x = 295.68 × 115.92
  4. Step 4: Simplify right side
    197.28x = 34,275.23
  5. Step 5: Solve for x
    x = 34,275.23/197.28
  6. Step 6: Final answer
    x = 173.74

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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.