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Finding the Fourth Proportional to 163.22, 243.23 and 157.41

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Solution

The fourth proportional to 163.22, 243.23 and 157.41 is: 234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.22 : 243.23 = 157.41 : x
  2. Step 2: Convert to fraction form
    163.22/243.23 = 157.41/x
  3. Step 3: Cross multiply
    163.22x = 243.23 × 157.41
  4. Step 4: Simplify right side
    163.22x = 38,286.05
  5. Step 5: Solve for x
    x = 38,286.05/163.22
  6. Step 6: Final answer
    x = 234.57

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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.