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Finding the Fourth Proportional to 217.82, 301.10 and 195.95

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Solution

The fourth proportional to 217.82, 301.10 and 195.95 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.82 : 301.10 = 195.95 : x
  2. Step 2: Convert to fraction form
    217.82/301.10 = 195.95/x
  3. Step 3: Cross multiply
    217.82x = 301.10 × 195.95
  4. Step 4: Simplify right side
    217.82x = 58,998.06
  5. Step 5: Solve for x
    x = 58,998.06/217.82
  6. Step 6: Final answer
    x = 270.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.