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Finding the Fourth Proportional to 216.08, 323.52 and 163.86

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Solution

The fourth proportional to 216.08, 323.52 and 163.86 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 323.52 = 163.86 : x
  2. Step 2: Convert to fraction form
    216.08/323.52 = 163.86/x
  3. Step 3: Cross multiply
    216.08x = 323.52 × 163.86
  4. Step 4: Simplify right side
    216.08x = 53,011.99
  5. Step 5: Solve for x
    x = 53,011.99/216.08
  6. Step 6: Final answer
    x = 245.34

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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.