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Finding the Fourth Proportional to 257.37, 355.22 and 164.04

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Solution

The fourth proportional to 257.37, 355.22 and 164.04 is: 226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.37 : 355.22 = 164.04 : x
  2. Step 2: Convert to fraction form
    257.37/355.22 = 164.04/x
  3. Step 3: Cross multiply
    257.37x = 355.22 × 164.04
  4. Step 4: Simplify right side
    257.37x = 58,270.29
  5. Step 5: Solve for x
    x = 58,270.29/257.37
  6. Step 6: Final answer
    x = 226.41

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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.