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Finding the Fourth Proportional to 232.07, 347.63 and 163.28

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Solution

The fourth proportional to 232.07, 347.63 and 163.28 is: 244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.07 : 347.63 = 163.28 : x
  2. Step 2: Convert to fraction form
    232.07/347.63 = 163.28/x
  3. Step 3: Cross multiply
    232.07x = 347.63 × 163.28
  4. Step 4: Simplify right side
    232.07x = 56,761.08
  5. Step 5: Solve for x
    x = 56,761.08/232.07
  6. Step 6: Final answer
    x = 244.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.