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Finding the Fourth Proportional to 243.56, 335.77 and 173.43

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Solution

The fourth proportional to 243.56, 335.77 and 173.43 is: 239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.56 : 335.77 = 173.43 : x
  2. Step 2: Convert to fraction form
    243.56/335.77 = 173.43/x
  3. Step 3: Cross multiply
    243.56x = 335.77 × 173.43
  4. Step 4: Simplify right side
    243.56x = 58,232.16
  5. Step 5: Solve for x
    x = 58,232.16/243.56
  6. Step 6: Final answer
    x = 239.09

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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.