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Finding the Fourth Proportional to 221.24, 331.92 and 123.76

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Solution

The fourth proportional to 221.24, 331.92 and 123.76 is: 185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.24 : 331.92 = 123.76 : x
  2. Step 2: Convert to fraction form
    221.24/331.92 = 123.76/x
  3. Step 3: Cross multiply
    221.24x = 331.92 × 123.76
  4. Step 4: Simplify right side
    221.24x = 41,078.42
  5. Step 5: Solve for x
    x = 41,078.42/221.24
  6. Step 6: Final answer
    x = 185.67

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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.