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Finding the Fourth Proportional to 257.27, 355.41 and 205.16

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Solution

The fourth proportional to 257.27, 355.41 and 205.16 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.27 : 355.41 = 205.16 : x
  2. Step 2: Convert to fraction form
    257.27/355.41 = 205.16/x
  3. Step 3: Cross multiply
    257.27x = 355.41 × 205.16
  4. Step 4: Simplify right side
    257.27x = 72,914.14
  5. Step 5: Solve for x
    x = 72,914.14/257.27
  6. Step 6: Final answer
    x = 283.42

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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.