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Finding the Fourth Proportional to 195.20, 269.12 and 191.68

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Solution

The fourth proportional to 195.20, 269.12 and 191.68 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.20 : 269.12 = 191.68 : x
  2. Step 2: Convert to fraction form
    195.20/269.12 = 191.68/x
  3. Step 3: Cross multiply
    195.20x = 269.12 × 191.68
  4. Step 4: Simplify right side
    195.20x = 51,584.92
  5. Step 5: Solve for x
    x = 51,584.92/195.20
  6. Step 6: Final answer
    x = 264.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.