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Finding the Fourth Proportional to 257.58, 355.24 and 204.73

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Solution

The fourth proportional to 257.58, 355.24 and 204.73 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.58 : 355.24 = 204.73 : x
  2. Step 2: Convert to fraction form
    257.58/355.24 = 204.73/x
  3. Step 3: Cross multiply
    257.58x = 355.24 × 204.73
  4. Step 4: Simplify right side
    257.58x = 72,726.50
  5. Step 5: Solve for x
    x = 72,726.50/257.58
  6. Step 6: Final answer
    x = 282.35

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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.