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Finding the Fourth Proportional to 143.98, 198.43 and 116.23

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Solution

The fourth proportional to 143.98, 198.43 and 116.23 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.98 : 198.43 = 116.23 : x
  2. Step 2: Convert to fraction form
    143.98/198.43 = 116.23/x
  3. Step 3: Cross multiply
    143.98x = 198.43 × 116.23
  4. Step 4: Simplify right side
    143.98x = 23,063.52
  5. Step 5: Solve for x
    x = 23,063.52/143.98
  6. Step 6: Final answer
    x = 160.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.