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Finding the Fourth Proportional to 243.12, 335.28 and 164.43

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Solution

The fourth proportional to 243.12, 335.28 and 164.43 is: 226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.12 : 335.28 = 164.43 : x
  2. Step 2: Convert to fraction form
    243.12/335.28 = 164.43/x
  3. Step 3: Cross multiply
    243.12x = 335.28 × 164.43
  4. Step 4: Simplify right side
    243.12x = 55,130.09
  5. Step 5: Solve for x
    x = 55,130.09/243.12
  6. Step 6: Final answer
    x = 226.76

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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.