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Finding the Fourth Proportional to 226.09, 339.20 and 96.02

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Solution

The fourth proportional to 226.09, 339.20 and 96.02 is: 144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.09 : 339.20 = 96.02 : x
  2. Step 2: Convert to fraction form
    226.09/339.20 = 96.02/x
  3. Step 3: Cross multiply
    226.09x = 339.20 × 96.02
  4. Step 4: Simplify right side
    226.09x = 32,569.98
  5. Step 5: Solve for x
    x = 32,569.98/226.09
  6. Step 6: Final answer
    x = 144.06

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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.