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Finding the Fourth Proportional to 221.70, 332.13 and 125.22

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Solution

The fourth proportional to 221.70, 332.13 and 125.22 is: 187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.70 : 332.13 = 125.22 : x
  2. Step 2: Convert to fraction form
    221.70/332.13 = 125.22/x
  3. Step 3: Cross multiply
    221.70x = 332.13 × 125.22
  4. Step 4: Simplify right side
    221.70x = 41,589.32
  5. Step 5: Solve for x
    x = 41,589.32/221.70
  6. Step 6: Final answer
    x = 187.59

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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.