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Finding the Fourth Proportional to 232.41, 347.25 and 224.34

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Solution

The fourth proportional to 232.41, 347.25 and 224.34 is: 335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.41 : 347.25 = 224.34 : x
  2. Step 2: Convert to fraction form
    232.41/347.25 = 224.34/x
  3. Step 3: Cross multiply
    232.41x = 347.25 × 224.34
  4. Step 4: Simplify right side
    232.41x = 77,902.07
  5. Step 5: Solve for x
    x = 77,902.07/232.41
  6. Step 6: Final answer
    x = 335.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.