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Finding the Fourth Proportional to 195.20, 269.34 and 116.48

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Solution

The fourth proportional to 195.20, 269.34 and 116.48 is: 160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.20 : 269.34 = 116.48 : x
  2. Step 2: Convert to fraction form
    195.20/269.34 = 116.48/x
  3. Step 3: Cross multiply
    195.20x = 269.34 × 116.48
  4. Step 4: Simplify right side
    195.20x = 31,372.72
  5. Step 5: Solve for x
    x = 31,372.72/195.20
  6. Step 6: Final answer
    x = 160.72

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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.