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Finding the Fourth Proportional to 226.12, 339.27 and 96.14

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Solution

The fourth proportional to 226.12, 339.27 and 96.14 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.12 : 339.27 = 96.14 : x
  2. Step 2: Convert to fraction form
    226.12/339.27 = 96.14/x
  3. Step 3: Cross multiply
    226.12x = 339.27 × 96.14
  4. Step 4: Simplify right side
    226.12x = 32,617.42
  5. Step 5: Solve for x
    x = 32,617.42/226.12
  6. Step 6: Final answer
    x = 144.25

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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.