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Finding the Fourth Proportional to 216.78, 324.81 and 180.33

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Solution

The fourth proportional to 216.78, 324.81 and 180.33 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 324.81 = 180.33 : x
  2. Step 2: Convert to fraction form
    216.78/324.81 = 180.33/x
  3. Step 3: Cross multiply
    216.78x = 324.81 × 180.33
  4. Step 4: Simplify right side
    216.78x = 58,572.99
  5. Step 5: Solve for x
    x = 58,572.99/216.78
  6. Step 6: Final answer
    x = 270.20

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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.