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Finding the Fourth Proportional to 213.74, 321.04 and 200.78

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Solution

The fourth proportional to 213.74, 321.04 and 200.78 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 321.04 = 200.78 : x
  2. Step 2: Convert to fraction form
    213.74/321.04 = 200.78/x
  3. Step 3: Cross multiply
    213.74x = 321.04 × 200.78
  4. Step 4: Simplify right side
    213.74x = 64,458.41
  5. Step 5: Solve for x
    x = 64,458.41/213.74
  6. Step 6: Final answer
    x = 301.57

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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.