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Finding the Fourth Proportional to 195.61, 293.20 and 80.04

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Solution

The fourth proportional to 195.61, 293.20 and 80.04 is: 119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.61 : 293.20 = 80.04 : x
  2. Step 2: Convert to fraction form
    195.61/293.20 = 80.04/x
  3. Step 3: Cross multiply
    195.61x = 293.20 × 80.04
  4. Step 4: Simplify right side
    195.61x = 23,467.73
  5. Step 5: Solve for x
    x = 23,467.73/195.61
  6. Step 6: Final answer
    x = 119.97

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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.