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Finding the Fourth Proportional to 310.82, 428.56 and 200.30

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Solution

The fourth proportional to 310.82, 428.56 and 200.30 is: 276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 428.56 = 200.30 : x
  2. Step 2: Convert to fraction form
    310.82/428.56 = 200.30/x
  3. Step 3: Cross multiply
    310.82x = 428.56 × 200.30
  4. Step 4: Simplify right side
    310.82x = 85,837.92
  5. Step 5: Solve for x
    x = 85,837.92/310.82
  6. Step 6: Final answer
    x = 276.17

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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.