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Finding the Fourth Proportional to 161.26, 223.48 and 158.19

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Solution

The fourth proportional to 161.26, 223.48 and 158.19 is: 219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.26 : 223.48 = 158.19 : x
  2. Step 2: Convert to fraction form
    161.26/223.48 = 158.19/x
  3. Step 3: Cross multiply
    161.26x = 223.48 × 158.19
  4. Step 4: Simplify right side
    161.26x = 35,351.66
  5. Step 5: Solve for x
    x = 35,351.66/161.26
  6. Step 6: Final answer
    x = 219.22

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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.