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Finding the Fourth Proportional to 226.80, 339.64 and 209.48

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Solution

The fourth proportional to 226.80, 339.64 and 209.48 is: 313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.80 : 339.64 = 209.48 : x
  2. Step 2: Convert to fraction form
    226.80/339.64 = 209.48/x
  3. Step 3: Cross multiply
    226.80x = 339.64 × 209.48
  4. Step 4: Simplify right side
    226.80x = 71,147.79
  5. Step 5: Solve for x
    x = 71,147.79/226.80
  6. Step 6: Final answer
    x = 313.70

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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.