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Finding the Fourth Proportional to 367.10, 550.25 and 182.13

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Solution

The fourth proportional to 367.10, 550.25 and 182.13 is: 273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.10 : 550.25 = 182.13 : x
  2. Step 2: Convert to fraction form
    367.10/550.25 = 182.13/x
  3. Step 3: Cross multiply
    367.10x = 550.25 × 182.13
  4. Step 4: Simplify right side
    367.10x = 100,217.03
  5. Step 5: Solve for x
    x = 100,217.03/367.10
  6. Step 6: Final answer
    x = 273.00

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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.