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Finding the Fourth Proportional to 221.90, 332.75 and 106.31

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Solution

The fourth proportional to 221.90, 332.75 and 106.31 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 332.75 = 106.31 : x
  2. Step 2: Convert to fraction form
    221.90/332.75 = 106.31/x
  3. Step 3: Cross multiply
    221.90x = 332.75 × 106.31
  4. Step 4: Simplify right side
    221.90x = 35,375.75
  5. Step 5: Solve for x
    x = 35,375.75/221.90
  6. Step 6: Final answer
    x = 159.43

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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.