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Finding the Fourth Proportional to 367.19, 550.77 and 161.75

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Solution

The fourth proportional to 367.19, 550.77 and 161.75 is: 242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.19 : 550.77 = 161.75 : x
  2. Step 2: Convert to fraction form
    367.19/550.77 = 161.75/x
  3. Step 3: Cross multiply
    367.19x = 550.77 × 161.75
  4. Step 4: Simplify right side
    367.19x = 89,087.05
  5. Step 5: Solve for x
    x = 89,087.05/367.19
  6. Step 6: Final answer
    x = 242.62

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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.