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Finding the Fourth Proportional to 226.44, 339.96 and 216.72

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Solution

The fourth proportional to 226.44, 339.96 and 216.72 is: 325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.44 : 339.96 = 216.72 : x
  2. Step 2: Convert to fraction form
    226.44/339.96 = 216.72/x
  3. Step 3: Cross multiply
    226.44x = 339.96 × 216.72
  4. Step 4: Simplify right side
    226.44x = 73,676.13
  5. Step 5: Solve for x
    x = 73,676.13/226.44
  6. Step 6: Final answer
    x = 325.37

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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.