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Finding the Fourth Proportional to 218.49, 301.28 and 163.14

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Solution

The fourth proportional to 218.49, 301.28 and 163.14 is: 224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.49 : 301.28 = 163.14 : x
  2. Step 2: Convert to fraction form
    218.49/301.28 = 163.14/x
  3. Step 3: Cross multiply
    218.49x = 301.28 × 163.14
  4. Step 4: Simplify right side
    218.49x = 49,150.82
  5. Step 5: Solve for x
    x = 49,150.82/218.49
  6. Step 6: Final answer
    x = 224.96

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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.