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Finding the Fourth Proportional to 221.22, 331.97 and 123.80

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Solution

The fourth proportional to 221.22, 331.97 and 123.80 is: 185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.22 : 331.97 = 123.80 : x
  2. Step 2: Convert to fraction form
    221.22/331.97 = 123.80/x
  3. Step 3: Cross multiply
    221.22x = 331.97 × 123.80
  4. Step 4: Simplify right side
    221.22x = 41,095.61
  5. Step 5: Solve for x
    x = 41,095.61/221.22
  6. Step 6: Final answer
    x = 185.77

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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.