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Finding the Fourth Proportional to 223.25, 335.57 and 218.07

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Solution

The fourth proportional to 223.25, 335.57 and 218.07 is: 327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.25 : 335.57 = 218.07 : x
  2. Step 2: Convert to fraction form
    223.25/335.57 = 218.07/x
  3. Step 3: Cross multiply
    223.25x = 335.57 × 218.07
  4. Step 4: Simplify right side
    223.25x = 73,176.66
  5. Step 5: Solve for x
    x = 73,176.66/223.25
  6. Step 6: Final answer
    x = 327.79

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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.