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Finding the Fourth Proportional to 213.89, 319.10 and 196.27

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Solution

The fourth proportional to 213.89, 319.10 and 196.27 is: 292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 319.10 = 196.27 : x
  2. Step 2: Convert to fraction form
    213.89/319.10 = 196.27/x
  3. Step 3: Cross multiply
    213.89x = 319.10 × 196.27
  4. Step 4: Simplify right side
    213.89x = 62,627.98
  5. Step 5: Solve for x
    x = 62,627.98/213.89
  6. Step 6: Final answer
    x = 292.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.