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Finding the Fourth Proportional to 146.29, 219.62 and 138.73

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Solution

The fourth proportional to 146.29, 219.62 and 138.73 is: 208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.29 : 219.62 = 138.73 : x
  2. Step 2: Convert to fraction form
    146.29/219.62 = 138.73/x
  3. Step 3: Cross multiply
    146.29x = 219.62 × 138.73
  4. Step 4: Simplify right side
    146.29x = 30,467.88
  5. Step 5: Solve for x
    x = 30,467.88/146.29
  6. Step 6: Final answer
    x = 208.27

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Why These Related Problems?

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