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Finding the Fourth Proportional to 218.73, 327.66 and 164.68

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Solution

The fourth proportional to 218.73, 327.66 and 164.68 is: 246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.73 : 327.66 = 164.68 : x
  2. Step 2: Convert to fraction form
    218.73/327.66 = 164.68/x
  3. Step 3: Cross multiply
    218.73x = 327.66 × 164.68
  4. Step 4: Simplify right side
    218.73x = 53,959.05
  5. Step 5: Solve for x
    x = 53,959.05/218.73
  6. Step 6: Final answer
    x = 246.69

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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.