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Finding the Fourth Proportional to 221.42, 332.15 and 195.97

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Solution

The fourth proportional to 221.42, 332.15 and 195.97 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 332.15 = 195.97 : x
  2. Step 2: Convert to fraction form
    221.42/332.15 = 195.97/x
  3. Step 3: Cross multiply
    221.42x = 332.15 × 195.97
  4. Step 4: Simplify right side
    221.42x = 65,091.44
  5. Step 5: Solve for x
    x = 65,091.44/221.42
  6. Step 6: Final answer
    x = 293.97

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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.