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Finding the Fourth Proportional to 195.61, 269.92 and 112.70

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Solution

The fourth proportional to 195.61, 269.92 and 112.70 is: 155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.61 : 269.92 = 112.70 : x
  2. Step 2: Convert to fraction form
    195.61/269.92 = 112.70/x
  3. Step 3: Cross multiply
    195.61x = 269.92 × 112.70
  4. Step 4: Simplify right side
    195.61x = 30,419.42
  5. Step 5: Solve for x
    x = 30,419.42/195.61
  6. Step 6: Final answer
    x = 155.51

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Why These Related Problems?

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