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Finding the Fourth Proportional to 367, 550.44 and 161.68

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Solution

The fourth proportional to 367, 550.44 and 161.68 is: 242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 550.44 = 161.68 : x
  2. Step 2: Convert to fraction form
    367/550.44 = 161.68/x
  3. Step 3: Cross multiply
    367x = 550.44 × 161.68
  4. Step 4: Simplify right side
    367x = 88,995.14
  5. Step 5: Solve for x
    x = 88,995.14/367
  6. Step 6: Final answer
    x = 242.49

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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.