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Finding the Fourth Proportional to 257.74, 355.75 and 205.37

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Solution

The fourth proportional to 257.74, 355.75 and 205.37 is: 283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.74 : 355.75 = 205.37 : x
  2. Step 2: Convert to fraction form
    257.74/355.75 = 205.37/x
  3. Step 3: Cross multiply
    257.74x = 355.75 × 205.37
  4. Step 4: Simplify right side
    257.74x = 73,060.38
  5. Step 5: Solve for x
    x = 73,060.38/257.74
  6. Step 6: Final answer
    x = 283.47

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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.