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Finding the Fourth Proportional to 216.86, 324.81 and 165.83

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Solution

The fourth proportional to 216.86, 324.81 and 165.83 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.86 : 324.81 = 165.83 : x
  2. Step 2: Convert to fraction form
    216.86/324.81 = 165.83/x
  3. Step 3: Cross multiply
    216.86x = 324.81 × 165.83
  4. Step 4: Simplify right side
    216.86x = 53,861.62
  5. Step 5: Solve for x
    x = 53,861.62/216.86
  6. Step 6: Final answer
    x = 248.38

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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.