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Finding the Fourth Proportional to 257.67, 355.20 and 205.23

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Solution

The fourth proportional to 257.67, 355.20 and 205.23 is: 282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.67 : 355.20 = 205.23 : x
  2. Step 2: Convert to fraction form
    257.67/355.20 = 205.23/x
  3. Step 3: Cross multiply
    257.67x = 355.20 × 205.23
  4. Step 4: Simplify right side
    257.67x = 72,897.70
  5. Step 5: Solve for x
    x = 72,897.70/257.67
  6. Step 6: Final answer
    x = 282.92

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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.