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Finding the Fourth Proportional to 161.69, 222.17 and 143.24

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Solution

The fourth proportional to 161.69, 222.17 and 143.24 is: 196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.69 : 222.17 = 143.24 : x
  2. Step 2: Convert to fraction form
    161.69/222.17 = 143.24/x
  3. Step 3: Cross multiply
    161.69x = 222.17 × 143.24
  4. Step 4: Simplify right side
    161.69x = 31,821.80
  5. Step 5: Solve for x
    x = 31,821.80/161.69
  6. Step 6: Final answer
    x = 196.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.