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Finding the Fourth Proportional to 143.80, 214.31 and 140.73

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Solution

The fourth proportional to 143.80, 214.31 and 140.73 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.80 : 214.31 = 140.73 : x
  2. Step 2: Convert to fraction form
    143.80/214.31 = 140.73/x
  3. Step 3: Cross multiply
    143.80x = 214.31 × 140.73
  4. Step 4: Simplify right side
    143.80x = 30,159.85
  5. Step 5: Solve for x
    x = 30,159.85/143.80
  6. Step 6: Final answer
    x = 209.73

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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.