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Finding the Fourth Proportional to 243.25, 335.29 and 164.54

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Solution

The fourth proportional to 243.25, 335.29 and 164.54 is: 226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.25 : 335.29 = 164.54 : x
  2. Step 2: Convert to fraction form
    243.25/335.29 = 164.54/x
  3. Step 3: Cross multiply
    243.25x = 335.29 × 164.54
  4. Step 4: Simplify right side
    243.25x = 55,166.12
  5. Step 5: Solve for x
    x = 55,166.12/243.25
  6. Step 6: Final answer
    x = 226.79

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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.