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Finding the Fourth Proportional to 216.21, 323.91 and 167.61

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Solution

The fourth proportional to 216.21, 323.91 and 167.61 is: 251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 323.91 = 167.61 : x
  2. Step 2: Convert to fraction form
    216.21/323.91 = 167.61/x
  3. Step 3: Cross multiply
    216.21x = 323.91 × 167.61
  4. Step 4: Simplify right side
    216.21x = 54,290.56
  5. Step 5: Solve for x
    x = 54,290.56/216.21
  6. Step 6: Final answer
    x = 251.10

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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.