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Finding the Fourth Proportional to 218.10, 327.03 and 149.71

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Solution

The fourth proportional to 218.10, 327.03 and 149.71 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.10 : 327.03 = 149.71 : x
  2. Step 2: Convert to fraction form
    218.10/327.03 = 149.71/x
  3. Step 3: Cross multiply
    218.10x = 327.03 × 149.71
  4. Step 4: Simplify right side
    218.10x = 48,959.66
  5. Step 5: Solve for x
    x = 48,959.66/218.10
  6. Step 6: Final answer
    x = 224.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.