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Finding the Fourth Proportional to 197.28, 295.84 and 81.65

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Solution

The fourth proportional to 197.28, 295.84 and 81.65 is: 122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.28 : 295.84 = 81.65 : x
  2. Step 2: Convert to fraction form
    197.28/295.84 = 81.65/x
  3. Step 3: Cross multiply
    197.28x = 295.84 × 81.65
  4. Step 4: Simplify right side
    197.28x = 24,155.87
  5. Step 5: Solve for x
    x = 24,155.87/197.28
  6. Step 6: Final answer
    x = 122.44

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Why These Related Problems?

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