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Finding the Fourth Proportional to 226.08, 339.10 and 214.23

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Solution

The fourth proportional to 226.08, 339.10 and 214.23 is: 321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.08 : 339.10 = 214.23 : x
  2. Step 2: Convert to fraction form
    226.08/339.10 = 214.23/x
  3. Step 3: Cross multiply
    226.08x = 339.10 × 214.23
  4. Step 4: Simplify right side
    226.08x = 72,645.39
  5. Step 5: Solve for x
    x = 72,645.39/226.08
  6. Step 6: Final answer
    x = 321.33

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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.