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Finding the Fourth Proportional to 163.44, 226.12 and 157.44

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Solution

The fourth proportional to 163.44, 226.12 and 157.44 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.44 : 226.12 = 157.44 : x
  2. Step 2: Convert to fraction form
    163.44/226.12 = 157.44/x
  3. Step 3: Cross multiply
    163.44x = 226.12 × 157.44
  4. Step 4: Simplify right side
    163.44x = 35,600.33
  5. Step 5: Solve for x
    x = 35,600.33/163.44
  6. Step 6: Final answer
    x = 217.82

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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.