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Finding the Fourth Proportional to 367.09, 550.23 and 230.20

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Solution

The fourth proportional to 367.09, 550.23 and 230.20 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.09 : 550.23 = 230.20 : x
  2. Step 2: Convert to fraction form
    367.09/550.23 = 230.20/x
  3. Step 3: Cross multiply
    367.09x = 550.23 × 230.20
  4. Step 4: Simplify right side
    367.09x = 126,662.95
  5. Step 5: Solve for x
    x = 126,662.95/367.09
  6. Step 6: Final answer
    x = 345.05

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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.