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Finding the Fourth Proportional to 213.23, 319.23 and 190.97

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Solution

The fourth proportional to 213.23, 319.23 and 190.97 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 319.23 = 190.97 : x
  2. Step 2: Convert to fraction form
    213.23/319.23 = 190.97/x
  3. Step 3: Cross multiply
    213.23x = 319.23 × 190.97
  4. Step 4: Simplify right side
    213.23x = 60,963.27
  5. Step 5: Solve for x
    x = 60,963.27/213.23
  6. Step 6: Final answer
    x = 285.91

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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.