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Finding the Fourth Proportional to 367.62, 552.27 and 213.93

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Solution

The fourth proportional to 367.62, 552.27 and 213.93 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.62 : 552.27 = 213.93 : x
  2. Step 2: Convert to fraction form
    367.62/552.27 = 213.93/x
  3. Step 3: Cross multiply
    367.62x = 552.27 × 213.93
  4. Step 4: Simplify right side
    367.62x = 118,147.12
  5. Step 5: Solve for x
    x = 118,147.12/367.62
  6. Step 6: Final answer
    x = 321.38

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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.