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Finding the Fourth Proportional to 217.53, 326.41 and 144.22

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Solution

The fourth proportional to 217.53, 326.41 and 144.22 is: 216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 326.41 = 144.22 : x
  2. Step 2: Convert to fraction form
    217.53/326.41 = 144.22/x
  3. Step 3: Cross multiply
    217.53x = 326.41 × 144.22
  4. Step 4: Simplify right side
    217.53x = 47,074.13
  5. Step 5: Solve for x
    x = 47,074.13/217.53
  6. Step 6: Final answer
    x = 216.41

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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.