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Finding the Fourth Proportional to 310.26, 428.24 and 199.80

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Solution

The fourth proportional to 310.26, 428.24 and 199.80 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.26 : 428.24 = 199.80 : x
  2. Step 2: Convert to fraction form
    310.26/428.24 = 199.80/x
  3. Step 3: Cross multiply
    310.26x = 428.24 × 199.80
  4. Step 4: Simplify right side
    310.26x = 85,562.35
  5. Step 5: Solve for x
    x = 85,562.35/310.26
  6. Step 6: Final answer
    x = 275.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.