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Finding the Fourth Proportional to 213.20, 294.18 and 119.97

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Solution

The fourth proportional to 213.20, 294.18 and 119.97 is: 165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 294.18 = 119.97 : x
  2. Step 2: Convert to fraction form
    213.20/294.18 = 119.97/x
  3. Step 3: Cross multiply
    213.20x = 294.18 × 119.97
  4. Step 4: Simplify right side
    213.20x = 35,292.95
  5. Step 5: Solve for x
    x = 35,292.95/213.20
  6. Step 6: Final answer
    x = 165.54

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