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Finding the Fourth Proportional to 243.35, 335.75 and 173.42

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Solution

The fourth proportional to 243.35, 335.75 and 173.42 is: 239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.35 : 335.75 = 173.42 : x
  2. Step 2: Convert to fraction form
    243.35/335.75 = 173.42/x
  3. Step 3: Cross multiply
    243.35x = 335.75 × 173.42
  4. Step 4: Simplify right side
    243.35x = 58,224.90
  5. Step 5: Solve for x
    x = 58,224.90/243.35
  6. Step 6: Final answer
    x = 239.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.