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Finding the Fourth Proportional to 226.52, 312.22 and 218.01

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Solution

The fourth proportional to 226.52, 312.22 and 218.01 is: 300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.52 : 312.22 = 218.01 : x
  2. Step 2: Convert to fraction form
    226.52/312.22 = 218.01/x
  3. Step 3: Cross multiply
    226.52x = 312.22 × 218.01
  4. Step 4: Simplify right side
    226.52x = 68,067.08
  5. Step 5: Solve for x
    x = 68,067.08/226.52
  6. Step 6: Final answer
    x = 300.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.