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Finding the Fourth Proportional to 213.22, 294.22 and 119.97

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Solution

The fourth proportional to 213.22, 294.22 and 119.97 is: 165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.22 : 294.22 = 119.97 : x
  2. Step 2: Convert to fraction form
    213.22/294.22 = 119.97/x
  3. Step 3: Cross multiply
    213.22x = 294.22 × 119.97
  4. Step 4: Simplify right side
    213.22x = 35,297.57
  5. Step 5: Solve for x
    x = 35,297.57/213.22
  6. Step 6: Final answer
    x = 165.55

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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.