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Finding the Fourth Proportional to 226.52, 339.64 and 80.20

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Solution

The fourth proportional to 226.52, 339.64 and 80.20 is: 120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.52 : 339.64 = 80.20 : x
  2. Step 2: Convert to fraction form
    226.52/339.64 = 80.20/x
  3. Step 3: Cross multiply
    226.52x = 339.64 × 80.20
  4. Step 4: Simplify right side
    226.52x = 27,239.13
  5. Step 5: Solve for x
    x = 27,239.13/226.52
  6. Step 6: Final answer
    x = 120.25

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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.