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Finding the Fourth Proportional to 217.23, 325.22 and 180.78

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Solution

The fourth proportional to 217.23, 325.22 and 180.78 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.23 : 325.22 = 180.78 : x
  2. Step 2: Convert to fraction form
    217.23/325.22 = 180.78/x
  3. Step 3: Cross multiply
    217.23x = 325.22 × 180.78
  4. Step 4: Simplify right side
    217.23x = 58,792.98
  5. Step 5: Solve for x
    x = 58,792.98/217.23
  6. Step 6: Final answer
    x = 270.65

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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.