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Finding the Fourth Proportional to 225.80, 338.78 and 218.12

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Solution

The fourth proportional to 225.80, 338.78 and 218.12 is: 327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.80 : 338.78 = 218.12 : x
  2. Step 2: Convert to fraction form
    225.80/338.78 = 218.12/x
  3. Step 3: Cross multiply
    225.80x = 338.78 × 218.12
  4. Step 4: Simplify right side
    225.80x = 73,894.69
  5. Step 5: Solve for x
    x = 73,894.69/225.80
  6. Step 6: Final answer
    x = 327.26

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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.