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Finding the Fourth Proportional to 216.14, 324.33 and 165.11

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Solution

The fourth proportional to 216.14, 324.33 and 165.11 is: 247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 324.33 = 165.11 : x
  2. Step 2: Convert to fraction form
    216.14/324.33 = 165.11/x
  3. Step 3: Cross multiply
    216.14x = 324.33 × 165.11
  4. Step 4: Simplify right side
    216.14x = 53,551.09
  5. Step 5: Solve for x
    x = 53,551.09/216.14
  6. Step 6: Final answer
    x = 247.76

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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.