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Finding the Fourth Proportional to 143.23, 213.61 and 140.80

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Solution

The fourth proportional to 143.23, 213.61 and 140.80 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.23 : 213.61 = 140.80 : x
  2. Step 2: Convert to fraction form
    143.23/213.61 = 140.80/x
  3. Step 3: Cross multiply
    143.23x = 213.61 × 140.80
  4. Step 4: Simplify right side
    143.23x = 30,076.29
  5. Step 5: Solve for x
    x = 30,076.29/143.23
  6. Step 6: Final answer
    x = 209.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.