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Finding the Fourth Proportional to 195.19, 269.37 and 112.30

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Solution

The fourth proportional to 195.19, 269.37 and 112.30 is: 154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 269.37 = 112.30 : x
  2. Step 2: Convert to fraction form
    195.19/269.37 = 112.30/x
  3. Step 3: Cross multiply
    195.19x = 269.37 × 112.30
  4. Step 4: Simplify right side
    195.19x = 30,248.90
  5. Step 5: Solve for x
    x = 30,248.90/195.19
  6. Step 6: Final answer
    x = 154.97

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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.