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Finding the Fourth Proportional to 163.18, 244.67 and 75.23

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Solution

The fourth proportional to 163.18, 244.67 and 75.23 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.18 : 244.67 = 75.23 : x
  2. Step 2: Convert to fraction form
    163.18/244.67 = 75.23/x
  3. Step 3: Cross multiply
    163.18x = 244.67 × 75.23
  4. Step 4: Simplify right side
    163.18x = 18,406.87
  5. Step 5: Solve for x
    x = 18,406.87/163.18
  6. Step 6: Final answer
    x = 112.80

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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.