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Finding the Fourth Proportional to 226.08, 339.10 and 214.22

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Solution

The fourth proportional to 226.08, 339.10 and 214.22 is: 321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.08 : 339.10 = 214.22 : x
  2. Step 2: Convert to fraction form
    226.08/339.10 = 214.22/x
  3. Step 3: Cross multiply
    226.08x = 339.10 × 214.22
  4. Step 4: Simplify right side
    226.08x = 72,642.00
  5. Step 5: Solve for x
    x = 72,642.00/226.08
  6. Step 6: Final answer
    x = 321.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.