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Finding the Fourth Proportional to 213.20, 294.23 and 119.94

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Solution

The fourth proportional to 213.20, 294.23 and 119.94 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 294.23 = 119.94 : x
  2. Step 2: Convert to fraction form
    213.20/294.23 = 119.94/x
  3. Step 3: Cross multiply
    213.20x = 294.23 × 119.94
  4. Step 4: Simplify right side
    213.20x = 35,289.95
  5. Step 5: Solve for x
    x = 35,289.95/213.20
  6. Step 6: Final answer
    x = 165.53

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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.