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Finding the Fourth Proportional to 213.44, 319.74 and 200.12

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Solution

The fourth proportional to 213.44, 319.74 and 200.12 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 319.74 = 200.12 : x
  2. Step 2: Convert to fraction form
    213.44/319.74 = 200.12/x
  3. Step 3: Cross multiply
    213.44x = 319.74 × 200.12
  4. Step 4: Simplify right side
    213.44x = 63,986.37
  5. Step 5: Solve for x
    x = 63,986.37/213.44
  6. Step 6: Final answer
    x = 299.79

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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.