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Finding the Fourth Proportional to 367.75, 551.67 and 151.21

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Solution

The fourth proportional to 367.75, 551.67 and 151.21 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.75 : 551.67 = 151.21 : x
  2. Step 2: Convert to fraction form
    367.75/551.67 = 151.21/x
  3. Step 3: Cross multiply
    367.75x = 551.67 × 151.21
  4. Step 4: Simplify right side
    367.75x = 83,418.02
  5. Step 5: Solve for x
    x = 83,418.02/367.75
  6. Step 6: Final answer
    x = 226.83

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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.