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Finding the Fourth Proportional to 144.28, 214.92 and 137.73

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Solution

The fourth proportional to 144.28, 214.92 and 137.73 is: 205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 214.92 = 137.73 : x
  2. Step 2: Convert to fraction form
    144.28/214.92 = 137.73/x
  3. Step 3: Cross multiply
    144.28x = 214.92 × 137.73
  4. Step 4: Simplify right side
    144.28x = 29,601.74
  5. Step 5: Solve for x
    x = 29,601.74/144.28
  6. Step 6: Final answer
    x = 205.17

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Why These Related Problems?

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