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Finding the Fourth Proportional to 163.82, 226.06 and 120.18

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Solution

The fourth proportional to 163.82, 226.06 and 120.18 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 226.06 = 120.18 : x
  2. Step 2: Convert to fraction form
    163.82/226.06 = 120.18/x
  3. Step 3: Cross multiply
    163.82x = 226.06 × 120.18
  4. Step 4: Simplify right side
    163.82x = 27,168.44
  5. Step 5: Solve for x
    x = 27,168.44/163.82
  6. Step 6: Final answer
    x = 165.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.