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Finding the Fourth Proportional to 218.40, 326.46 and 163.68

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Solution

The fourth proportional to 218.40, 326.46 and 163.68 is: 244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 326.46 = 163.68 : x
  2. Step 2: Convert to fraction form
    218.40/326.46 = 163.68/x
  3. Step 3: Cross multiply
    218.40x = 326.46 × 163.68
  4. Step 4: Simplify right side
    218.40x = 53,434.97
  5. Step 5: Solve for x
    x = 53,434.97/218.40
  6. Step 6: Final answer
    x = 244.67

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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.