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Finding the Fourth Proportional to 195.45, 292.82 and 97.85

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Solution

The fourth proportional to 195.45, 292.82 and 97.85 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.45 : 292.82 = 97.85 : x
  2. Step 2: Convert to fraction form
    195.45/292.82 = 97.85/x
  3. Step 3: Cross multiply
    195.45x = 292.82 × 97.85
  4. Step 4: Simplify right side
    195.45x = 28,650.48
  5. Step 5: Solve for x
    x = 28,650.48/195.45
  6. Step 6: Final answer
    x = 146.59

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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.