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Finding the Fourth Proportional to 143.73, 214.43 and 122.22

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Solution

The fourth proportional to 143.73, 214.43 and 122.22 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.73 : 214.43 = 122.22 : x
  2. Step 2: Convert to fraction form
    143.73/214.43 = 122.22/x
  3. Step 3: Cross multiply
    143.73x = 214.43 × 122.22
  4. Step 4: Simplify right side
    143.73x = 26,207.94
  5. Step 5: Solve for x
    x = 26,207.94/143.73
  6. Step 6: Final answer
    x = 182.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.