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Finding the Fourth Proportional to 221.30, 331.97 and 67.22

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Solution

The fourth proportional to 221.30, 331.97 and 67.22 is: 100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.30 : 331.97 = 67.22 : x
  2. Step 2: Convert to fraction form
    221.30/331.97 = 67.22/x
  3. Step 3: Cross multiply
    221.30x = 331.97 × 67.22
  4. Step 4: Simplify right side
    221.30x = 22,316.02
  5. Step 5: Solve for x
    x = 22,316.02/221.30
  6. Step 6: Final answer
    x = 100.84

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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.