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Finding the Fourth Proportional to 221.23, 331.39 and 99.23

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Solution

The fourth proportional to 221.23, 331.39 and 99.23 is: 148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.23 : 331.39 = 99.23 : x
  2. Step 2: Convert to fraction form
    221.23/331.39 = 99.23/x
  3. Step 3: Cross multiply
    221.23x = 331.39 × 99.23
  4. Step 4: Simplify right side
    221.23x = 32,882.30
  5. Step 5: Solve for x
    x = 32,882.30/221.23
  6. Step 6: Final answer
    x = 148.63

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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.