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Finding the Fourth Proportional to 221.00, 331.14 and 123.44

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Solution

The fourth proportional to 221.00, 331.14 and 123.44 is: 184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.00 : 331.14 = 123.44 : x
  2. Step 2: Convert to fraction form
    221.00/331.14 = 123.44/x
  3. Step 3: Cross multiply
    221.00x = 331.14 × 123.44
  4. Step 4: Simplify right side
    221.00x = 40,874.27
  5. Step 5: Solve for x
    x = 40,874.27/221.00
  6. Step 6: Final answer
    x = 184.96

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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.