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Finding the Fourth Proportional to 143.94, 198.75 and 116.27

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Solution

The fourth proportional to 143.94, 198.75 and 116.27 is: 160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.94 : 198.75 = 116.27 : x
  2. Step 2: Convert to fraction form
    143.94/198.75 = 116.27/x
  3. Step 3: Cross multiply
    143.94x = 198.75 × 116.27
  4. Step 4: Simplify right side
    143.94x = 23,108.85
  5. Step 5: Solve for x
    x = 23,108.85/143.94
  6. Step 6: Final answer
    x = 160.54

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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.