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Finding the Fourth Proportional to 143.39, 214.02 and 138.12

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Solution

The fourth proportional to 143.39, 214.02 and 138.12 is: 206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.39 : 214.02 = 138.12 : x
  2. Step 2: Convert to fraction form
    143.39/214.02 = 138.12/x
  3. Step 3: Cross multiply
    143.39x = 214.02 × 138.12
  4. Step 4: Simplify right side
    143.39x = 29,560.44
  5. Step 5: Solve for x
    x = 29,560.44/143.39
  6. Step 6: Final answer
    x = 206.16

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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.