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Finding the Fourth Proportional to 366.99, 550.46 and 161.42

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Solution

The fourth proportional to 366.99, 550.46 and 161.42 is: 242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.99 : 550.46 = 161.42 : x
  2. Step 2: Convert to fraction form
    366.99/550.46 = 161.42/x
  3. Step 3: Cross multiply
    366.99x = 550.46 × 161.42
  4. Step 4: Simplify right side
    366.99x = 88,855.25
  5. Step 5: Solve for x
    x = 88,855.25/366.99
  6. Step 6: Final answer
    x = 242.12

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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.