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Finding the Fourth Proportional to 257.52, 355.93 and 227.80

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Solution

The fourth proportional to 257.52, 355.93 and 227.80 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.52 : 355.93 = 227.80 : x
  2. Step 2: Convert to fraction form
    257.52/355.93 = 227.80/x
  3. Step 3: Cross multiply
    257.52x = 355.93 × 227.80
  4. Step 4: Simplify right side
    257.52x = 81,082.68
  5. Step 5: Solve for x
    x = 81,082.68/257.52
  6. Step 6: Final answer
    x = 314.86

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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.