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Finding the Fourth Proportional to 161.20, 222.42 and 119.86

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Solution

The fourth proportional to 161.20, 222.42 and 119.86 is: 165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 222.42 = 119.86 : x
  2. Step 2: Convert to fraction form
    161.20/222.42 = 119.86/x
  3. Step 3: Cross multiply
    161.20x = 222.42 × 119.86
  4. Step 4: Simplify right side
    161.20x = 26,659.26
  5. Step 5: Solve for x
    x = 26,659.26/161.20
  6. Step 6: Final answer
    x = 165.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.