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Finding the Fourth Proportional to 310.45, 428.17 and 199.93

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Solution

The fourth proportional to 310.45, 428.17 and 199.93 is: 275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.45 : 428.17 = 199.93 : x
  2. Step 2: Convert to fraction form
    310.45/428.17 = 199.93/x
  3. Step 3: Cross multiply
    310.45x = 428.17 × 199.93
  4. Step 4: Simplify right side
    310.45x = 85,604.03
  5. Step 5: Solve for x
    x = 85,604.03/310.45
  6. Step 6: Final answer
    x = 275.74

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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.