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Finding the Fourth Proportional to 137.29, 205.74 and 132.31

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Solution

The fourth proportional to 137.29, 205.74 and 132.31 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.29 : 205.74 = 132.31 : x
  2. Step 2: Convert to fraction form
    137.29/205.74 = 132.31/x
  3. Step 3: Cross multiply
    137.29x = 205.74 × 132.31
  4. Step 4: Simplify right side
    137.29x = 27,221.46
  5. Step 5: Solve for x
    x = 27,221.46/137.29
  6. Step 6: Final answer
    x = 198.28

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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.