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Finding the Fourth Proportional to 221.34, 331.71 and 84.23

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Solution

The fourth proportional to 221.34, 331.71 and 84.23 is: 126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.34 : 331.71 = 84.23 : x
  2. Step 2: Convert to fraction form
    221.34/331.71 = 84.23/x
  3. Step 3: Cross multiply
    221.34x = 331.71 × 84.23
  4. Step 4: Simplify right side
    221.34x = 27,938.27
  5. Step 5: Solve for x
    x = 27,938.27/221.34
  6. Step 6: Final answer
    x = 126.22

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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.