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Finding the Fourth Proportional to 367.53, 550.68 and 182.19

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Solution

The fourth proportional to 367.53, 550.68 and 182.19 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.53 : 550.68 = 182.19 : x
  2. Step 2: Convert to fraction form
    367.53/550.68 = 182.19/x
  3. Step 3: Cross multiply
    367.53x = 550.68 × 182.19
  4. Step 4: Simplify right side
    367.53x = 100,326.56
  5. Step 5: Solve for x
    x = 100,326.56/367.53
  6. Step 6: Final answer
    x = 272.97

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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.