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Finding the Fourth Proportional to 257.44, 355.26 and 164.44

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Solution

The fourth proportional to 257.44, 355.26 and 164.44 is: 226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 355.26 = 164.44 : x
  2. Step 2: Convert to fraction form
    257.44/355.26 = 164.44/x
  3. Step 3: Cross multiply
    257.44x = 355.26 × 164.44
  4. Step 4: Simplify right side
    257.44x = 58,418.95
  5. Step 5: Solve for x
    x = 58,418.95/257.44
  6. Step 6: Final answer
    x = 226.92

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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.