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Finding the Fourth Proportional to 144.11, 216.27 and 138.34

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Solution

The fourth proportional to 144.11, 216.27 and 138.34 is: 207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.11 : 216.27 = 138.34 : x
  2. Step 2: Convert to fraction form
    144.11/216.27 = 138.34/x
  3. Step 3: Cross multiply
    144.11x = 216.27 × 138.34
  4. Step 4: Simplify right side
    144.11x = 29,919.06
  5. Step 5: Solve for x
    x = 29,919.06/144.11
  6. Step 6: Final answer
    x = 207.61

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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.