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Finding the Fourth Proportional to 331.50, 496.80 and 167.04

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Solution

The fourth proportional to 331.50, 496.80 and 167.04 is: 250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.50 : 496.80 = 167.04 : x
  2. Step 2: Convert to fraction form
    331.50/496.80 = 167.04/x
  3. Step 3: Cross multiply
    331.50x = 496.80 × 167.04
  4. Step 4: Simplify right side
    331.50x = 82,985.47
  5. Step 5: Solve for x
    x = 82,985.47/331.50
  6. Step 6: Final answer
    x = 250.33

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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.