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Finding the Fourth Proportional to 195.27, 292.68 and 79.68

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Solution

The fourth proportional to 195.27, 292.68 and 79.68 is: 119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.27 : 292.68 = 79.68 : x
  2. Step 2: Convert to fraction form
    195.27/292.68 = 79.68/x
  3. Step 3: Cross multiply
    195.27x = 292.68 × 79.68
  4. Step 4: Simplify right side
    195.27x = 23,320.74
  5. Step 5: Solve for x
    x = 23,320.74/195.27
  6. Step 6: Final answer
    x = 119.43

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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.