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Finding the Fourth Proportional to 195.03, 269.14 and 112.13

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Solution

The fourth proportional to 195.03, 269.14 and 112.13 is: 154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.03 : 269.14 = 112.13 : x
  2. Step 2: Convert to fraction form
    195.03/269.14 = 112.13/x
  3. Step 3: Cross multiply
    195.03x = 269.14 × 112.13
  4. Step 4: Simplify right side
    195.03x = 30,179.78
  5. Step 5: Solve for x
    x = 30,179.78/195.03
  6. Step 6: Final answer
    x = 154.74

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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.