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Finding the Fourth Proportional to 163.09, 243.99 and 126.24

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Solution

The fourth proportional to 163.09, 243.99 and 126.24 is: 188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.09 : 243.99 = 126.24 : x
  2. Step 2: Convert to fraction form
    163.09/243.99 = 126.24/x
  3. Step 3: Cross multiply
    163.09x = 243.99 × 126.24
  4. Step 4: Simplify right side
    163.09x = 30,801.30
  5. Step 5: Solve for x
    x = 30,801.30/163.09
  6. Step 6: Final answer
    x = 188.86

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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.