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Finding the Fourth Proportional to 217.94, 326.70 and 96.22

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Solution

The fourth proportional to 217.94, 326.70 and 96.22 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.94 : 326.70 = 96.22 : x
  2. Step 2: Convert to fraction form
    217.94/326.70 = 96.22/x
  3. Step 3: Cross multiply
    217.94x = 326.70 × 96.22
  4. Step 4: Simplify right side
    217.94x = 31,435.07
  5. Step 5: Solve for x
    x = 31,435.07/217.94
  6. Step 6: Final answer
    x = 144.24

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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.