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Finding the Fourth Proportional to 195.28, 292.92 and 86.92

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Solution

The fourth proportional to 195.28, 292.92 and 86.92 is: 130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.28 : 292.92 = 86.92 : x
  2. Step 2: Convert to fraction form
    195.28/292.92 = 86.92/x
  3. Step 3: Cross multiply
    195.28x = 292.92 × 86.92
  4. Step 4: Simplify right side
    195.28x = 25,460.61
  5. Step 5: Solve for x
    x = 25,460.61/195.28
  6. Step 6: Final answer
    x = 130.38

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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.