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Finding the Fourth Proportional to 216.20, 324.50 and 120.21

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Solution

The fourth proportional to 216.20, 324.50 and 120.21 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.20 : 324.50 = 120.21 : x
  2. Step 2: Convert to fraction form
    216.20/324.50 = 120.21/x
  3. Step 3: Cross multiply
    216.20x = 324.50 × 120.21
  4. Step 4: Simplify right side
    216.20x = 39,007.54
  5. Step 5: Solve for x
    x = 39,007.54/216.20
  6. Step 6: Final answer
    x = 180.43

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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.