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Finding the Fourth Proportional to 331.12, 496.72 and 138.80

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Solution

The fourth proportional to 331.12, 496.72 and 138.80 is: 208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.12 : 496.72 = 138.80 : x
  2. Step 2: Convert to fraction form
    331.12/496.72 = 138.80/x
  3. Step 3: Cross multiply
    331.12x = 496.72 × 138.80
  4. Step 4: Simplify right side
    331.12x = 68,944.74
  5. Step 5: Solve for x
    x = 68,944.74/331.12
  6. Step 6: Final answer
    x = 208.22

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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.