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Finding the Fourth Proportional to 143.12, 198.26 and 140.24

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Solution

The fourth proportional to 143.12, 198.26 and 140.24 is: 194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.12 : 198.26 = 140.24 : x
  2. Step 2: Convert to fraction form
    143.12/198.26 = 140.24/x
  3. Step 3: Cross multiply
    143.12x = 198.26 × 140.24
  4. Step 4: Simplify right side
    143.12x = 27,803.98
  5. Step 5: Solve for x
    x = 27,803.98/143.12
  6. Step 6: Final answer
    x = 194.27

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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.