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Finding the Fourth Proportional to 367.47, 550.17 and 245.49

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Solution

The fourth proportional to 367.47, 550.17 and 245.49 is: 367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.47 : 550.17 = 245.49 : x
  2. Step 2: Convert to fraction form
    367.47/550.17 = 245.49/x
  3. Step 3: Cross multiply
    367.47x = 550.17 × 245.49
  4. Step 4: Simplify right side
    367.47x = 135,061.23
  5. Step 5: Solve for x
    x = 135,061.23/367.47
  6. Step 6: Final answer
    x = 367.54

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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.