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Finding the Fourth Proportional to 213.80, 321 and 140.69

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Solution

The fourth proportional to 213.80, 321 and 140.69 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 321 = 140.69 : x
  2. Step 2: Convert to fraction form
    213.80/321 = 140.69/x
  3. Step 3: Cross multiply
    213.80x = 321 × 140.69
  4. Step 4: Simplify right side
    213.80x = 45,161.49
  5. Step 5: Solve for x
    x = 45,161.49/213.80
  6. Step 6: Final answer
    x = 211.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.