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Finding the Fourth Proportional to 310.67, 428.57 and 200.10

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Solution

The fourth proportional to 310.67, 428.57 and 200.10 is: 276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.67 : 428.57 = 200.10 : x
  2. Step 2: Convert to fraction form
    310.67/428.57 = 200.10/x
  3. Step 3: Cross multiply
    310.67x = 428.57 × 200.10
  4. Step 4: Simplify right side
    310.67x = 85,756.86
  5. Step 5: Solve for x
    x = 85,756.86/310.67
  6. Step 6: Final answer
    x = 276.04

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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.