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Finding the Fourth Proportional to 213.38, 319.91 and 140.27

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Solution

The fourth proportional to 213.38, 319.91 and 140.27 is: 210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 319.91 = 140.27 : x
  2. Step 2: Convert to fraction form
    213.38/319.91 = 140.27/x
  3. Step 3: Cross multiply
    213.38x = 319.91 × 140.27
  4. Step 4: Simplify right side
    213.38x = 44,871.47
  5. Step 5: Solve for x
    x = 44,871.47/213.38
  6. Step 6: Final answer
    x = 210.29

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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.