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Finding the Fourth Proportional to 367.37, 550.62 and 204.72

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Solution

The fourth proportional to 367.37, 550.62 and 204.72 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.37 : 550.62 = 204.72 : x
  2. Step 2: Convert to fraction form
    367.37/550.62 = 204.72/x
  3. Step 3: Cross multiply
    367.37x = 550.62 × 204.72
  4. Step 4: Simplify right side
    367.37x = 112,722.93
  5. Step 5: Solve for x
    x = 112,722.93/367.37
  6. Step 6: Final answer
    x = 306.84

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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.