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Finding the Fourth Proportional to 257.92, 355.92 and 225.28

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Solution

The fourth proportional to 257.92, 355.92 and 225.28 is: 310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.92 : 355.92 = 225.28 : x
  2. Step 2: Convert to fraction form
    257.92/355.92 = 225.28/x
  3. Step 3: Cross multiply
    257.92x = 355.92 × 225.28
  4. Step 4: Simplify right side
    257.92x = 80,181.66
  5. Step 5: Solve for x
    x = 80,181.66/257.92
  6. Step 6: Final answer
    x = 310.88

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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.