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Finding the Fourth Proportional to 143.19, 214.97 and 110.79

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Solution

The fourth proportional to 143.19, 214.97 and 110.79 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.19 : 214.97 = 110.79 : x
  2. Step 2: Convert to fraction form
    143.19/214.97 = 110.79/x
  3. Step 3: Cross multiply
    143.19x = 214.97 × 110.79
  4. Step 4: Simplify right side
    143.19x = 23,815.97
  5. Step 5: Solve for x
    x = 23,815.97/143.19
  6. Step 6: Final answer
    x = 166.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.