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Finding the Fourth Proportional to 367.28, 550.64 and 161.78

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Solution

The fourth proportional to 367.28, 550.64 and 161.78 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.28 : 550.64 = 161.78 : x
  2. Step 2: Convert to fraction form
    367.28/550.64 = 161.78/x
  3. Step 3: Cross multiply
    367.28x = 550.64 × 161.78
  4. Step 4: Simplify right side
    367.28x = 89,080.19
  5. Step 5: Solve for x
    x = 89,080.19/367.28
  6. Step 6: Final answer
    x = 242.54

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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.