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Finding the Fourth Proportional to 195.20, 292.92 and 108.60

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Solution

The fourth proportional to 195.20, 292.92 and 108.60 is: 162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.20 : 292.92 = 108.60 : x
  2. Step 2: Convert to fraction form
    195.20/292.92 = 108.60/x
  3. Step 3: Cross multiply
    195.20x = 292.92 × 108.60
  4. Step 4: Simplify right side
    195.20x = 31,811.11
  5. Step 5: Solve for x
    x = 31,811.11/195.20
  6. Step 6: Final answer
    x = 162.97

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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.