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Finding the Fourth Proportional to 367.50, 550.85 and 205.10

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Solution

The fourth proportional to 367.50, 550.85 and 205.10 is: 307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.50 : 550.85 = 205.10 : x
  2. Step 2: Convert to fraction form
    367.50/550.85 = 205.10/x
  3. Step 3: Cross multiply
    367.50x = 550.85 × 205.10
  4. Step 4: Simplify right side
    367.50x = 112,975.56
  5. Step 5: Solve for x
    x = 112,975.56/367.50
  6. Step 6: Final answer
    x = 307.42

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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.