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Finding the Fourth Proportional to 195.92, 293.82 and 74.15

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Solution

The fourth proportional to 195.92, 293.82 and 74.15 is: 111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 293.82 = 74.15 : x
  2. Step 2: Convert to fraction form
    195.92/293.82 = 74.15/x
  3. Step 3: Cross multiply
    195.92x = 293.82 × 74.15
  4. Step 4: Simplify right side
    195.92x = 21,785.28
  5. Step 5: Solve for x
    x = 21,785.28/195.92
  6. Step 6: Final answer
    x = 111.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.