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Finding the Fourth Proportional to 218.49, 327.86 and 164.49

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Solution

The fourth proportional to 218.49, 327.86 and 164.49 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.49 : 327.86 = 164.49 : x
  2. Step 2: Convert to fraction form
    218.49/327.86 = 164.49/x
  3. Step 3: Cross multiply
    218.49x = 327.86 × 164.49
  4. Step 4: Simplify right side
    218.49x = 53,929.69
  5. Step 5: Solve for x
    x = 53,929.69/218.49
  6. Step 6: Final answer
    x = 246.83

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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.