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Finding the Fourth Proportional to 218.70, 327.33 and 141.47

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Solution

The fourth proportional to 218.70, 327.33 and 141.47 is: 211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.70 : 327.33 = 141.47 : x
  2. Step 2: Convert to fraction form
    218.70/327.33 = 141.47/x
  3. Step 3: Cross multiply
    218.70x = 327.33 × 141.47
  4. Step 4: Simplify right side
    218.70x = 46,305.74
  5. Step 5: Solve for x
    x = 46,305.74/218.70
  6. Step 6: Final answer
    x = 211.73

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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.