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Finding the Fourth Proportional to 161.31, 224.11 and 159.39

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Solution

The fourth proportional to 161.31, 224.11 and 159.39 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 224.11 = 159.39 : x
  2. Step 2: Convert to fraction form
    161.31/224.11 = 159.39/x
  3. Step 3: Cross multiply
    161.31x = 224.11 × 159.39
  4. Step 4: Simplify right side
    161.31x = 35,720.89
  5. Step 5: Solve for x
    x = 35,720.89/161.31
  6. Step 6: Final answer
    x = 221.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.