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Finding the Fourth Proportional to 216.11, 323.52 and 164.94

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Solution

The fourth proportional to 216.11, 323.52 and 164.94 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.11 : 323.52 = 164.94 : x
  2. Step 2: Convert to fraction form
    216.11/323.52 = 164.94/x
  3. Step 3: Cross multiply
    216.11x = 323.52 × 164.94
  4. Step 4: Simplify right side
    216.11x = 53,361.39
  5. Step 5: Solve for x
    x = 53,361.39/216.11
  6. Step 6: Final answer
    x = 246.92

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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.