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Finding the Fourth Proportional to 331.46, 496.94 and 164.59

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Solution

The fourth proportional to 331.46, 496.94 and 164.59 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.46 : 496.94 = 164.59 : x
  2. Step 2: Convert to fraction form
    331.46/496.94 = 164.59/x
  3. Step 3: Cross multiply
    331.46x = 496.94 × 164.59
  4. Step 4: Simplify right side
    331.46x = 81,789.29
  5. Step 5: Solve for x
    x = 81,789.29/331.46
  6. Step 6: Final answer
    x = 246.75

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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.