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Finding the Fourth Proportional to 143.67, 199.05 and 140.49

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Solution

The fourth proportional to 143.67, 199.05 and 140.49 is: 194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.67 : 199.05 = 140.49 : x
  2. Step 2: Convert to fraction form
    143.67/199.05 = 140.49/x
  3. Step 3: Cross multiply
    143.67x = 199.05 × 140.49
  4. Step 4: Simplify right side
    143.67x = 27,964.53
  5. Step 5: Solve for x
    x = 27,964.53/143.67
  6. Step 6: Final answer
    x = 194.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.