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Finding the Fourth Proportional to 163.99, 226.20 and 120.25

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Solution

The fourth proportional to 163.99, 226.20 and 120.25 is: 165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.99 : 226.20 = 120.25 : x
  2. Step 2: Convert to fraction form
    163.99/226.20 = 120.25/x
  3. Step 3: Cross multiply
    163.99x = 226.20 × 120.25
  4. Step 4: Simplify right side
    163.99x = 27,200.55
  5. Step 5: Solve for x
    x = 27,200.55/163.99
  6. Step 6: Final answer
    x = 165.87

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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.