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Finding the Fourth Proportional to 146.83, 218.92 and 137.52

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Solution

The fourth proportional to 146.83, 218.92 and 137.52 is: 205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.83 : 218.92 = 137.52 : x
  2. Step 2: Convert to fraction form
    146.83/218.92 = 137.52/x
  3. Step 3: Cross multiply
    146.83x = 218.92 × 137.52
  4. Step 4: Simplify right side
    146.83x = 30,105.88
  5. Step 5: Solve for x
    x = 30,105.88/146.83
  6. Step 6: Final answer
    x = 205.04

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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.