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Finding the Fourth Proportional to 218.75, 301.89 and 163.39

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Solution

The fourth proportional to 218.75, 301.89 and 163.39 is: 225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.75 : 301.89 = 163.39 : x
  2. Step 2: Convert to fraction form
    218.75/301.89 = 163.39/x
  3. Step 3: Cross multiply
    218.75x = 301.89 × 163.39
  4. Step 4: Simplify right side
    218.75x = 49,326.45
  5. Step 5: Solve for x
    x = 49,326.45/218.75
  6. Step 6: Final answer
    x = 225.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.