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Finding the Fourth Proportional to 257.56, 355.62 and 205.96

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Solution

The fourth proportional to 257.56, 355.62 and 205.96 is: 284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.56 : 355.62 = 205.96 : x
  2. Step 2: Convert to fraction form
    257.56/355.62 = 205.96/x
  3. Step 3: Cross multiply
    257.56x = 355.62 × 205.96
  4. Step 4: Simplify right side
    257.56x = 73,243.50
  5. Step 5: Solve for x
    x = 73,243.50/257.56
  6. Step 6: Final answer
    x = 284.37

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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.