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Finding the Fourth Proportional to 310.56, 428.24 and 206.88

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Solution

The fourth proportional to 310.56, 428.24 and 206.88 is: 285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 428.24 = 206.88 : x
  2. Step 2: Convert to fraction form
    310.56/428.24 = 206.88/x
  3. Step 3: Cross multiply
    310.56x = 428.24 × 206.88
  4. Step 4: Simplify right side
    310.56x = 88,594.29
  5. Step 5: Solve for x
    x = 88,594.29/310.56
  6. Step 6: Final answer
    x = 285.27

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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.