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Finding the Fourth Proportional to 195.32, 292.98 and 113.18

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Solution

The fourth proportional to 195.32, 292.98 and 113.18 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.32 : 292.98 = 113.18 : x
  2. Step 2: Convert to fraction form
    195.32/292.98 = 113.18/x
  3. Step 3: Cross multiply
    195.32x = 292.98 × 113.18
  4. Step 4: Simplify right side
    195.32x = 33,160.91
  5. Step 5: Solve for x
    x = 33,160.91/195.32
  6. Step 6: Final answer
    x = 169.78

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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.