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Finding the Fourth Proportional to 193.44, 290.16 and 163.14

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Solution

The fourth proportional to 193.44, 290.16 and 163.14 is: 244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.44 : 290.16 = 163.14 : x
  2. Step 2: Convert to fraction form
    193.44/290.16 = 163.14/x
  3. Step 3: Cross multiply
    193.44x = 290.16 × 163.14
  4. Step 4: Simplify right side
    193.44x = 47,335.97
  5. Step 5: Solve for x
    x = 47,335.97/193.44
  6. Step 6: Final answer
    x = 244.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.