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Finding the Fourth Proportional to 226.06, 339.22 and 96.04

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Solution

The fourth proportional to 226.06, 339.22 and 96.04 is: 144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.06 : 339.22 = 96.04 : x
  2. Step 2: Convert to fraction form
    226.06/339.22 = 96.04/x
  3. Step 3: Cross multiply
    226.06x = 339.22 × 96.04
  4. Step 4: Simplify right side
    226.06x = 32,578.69
  5. Step 5: Solve for x
    x = 32,578.69/226.06
  6. Step 6: Final answer
    x = 144.12

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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.