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Finding the Fourth Proportional to 216.78, 324.84 and 165.36

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Solution

The fourth proportional to 216.78, 324.84 and 165.36 is: 247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 324.84 = 165.36 : x
  2. Step 2: Convert to fraction form
    216.78/324.84 = 165.36/x
  3. Step 3: Cross multiply
    216.78x = 324.84 × 165.36
  4. Step 4: Simplify right side
    216.78x = 53,715.54
  5. Step 5: Solve for x
    x = 53,715.54/216.78
  6. Step 6: Final answer
    x = 247.79

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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.