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Finding the Fourth Proportional to 310.42, 428.23 and 199.86

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Solution

The fourth proportional to 310.42, 428.23 and 199.86 is: 275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.42 : 428.23 = 199.86 : x
  2. Step 2: Convert to fraction form
    310.42/428.23 = 199.86/x
  3. Step 3: Cross multiply
    310.42x = 428.23 × 199.86
  4. Step 4: Simplify right side
    310.42x = 85,586.05
  5. Step 5: Solve for x
    x = 85,586.05/310.42
  6. Step 6: Final answer
    x = 275.71

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Why These Related Problems?

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