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Finding the Fourth Proportional to 243.22, 335.52 and 164.43

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Solution

The fourth proportional to 243.22, 335.52 and 164.43 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.22 : 335.52 = 164.43 : x
  2. Step 2: Convert to fraction form
    243.22/335.52 = 164.43/x
  3. Step 3: Cross multiply
    243.22x = 335.52 × 164.43
  4. Step 4: Simplify right side
    243.22x = 55,169.55
  5. Step 5: Solve for x
    x = 55,169.55/243.22
  6. Step 6: Final answer
    x = 226.83

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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.