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Finding the Fourth Proportional to 163.62, 226.13 and 114.75

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Solution

The fourth proportional to 163.62, 226.13 and 114.75 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.62 : 226.13 = 114.75 : x
  2. Step 2: Convert to fraction form
    163.62/226.13 = 114.75/x
  3. Step 3: Cross multiply
    163.62x = 226.13 × 114.75
  4. Step 4: Simplify right side
    163.62x = 25,947.84
  5. Step 5: Solve for x
    x = 25,947.84/163.62
  6. Step 6: Final answer
    x = 158.59

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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.