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Finding the Fourth Proportional to 331.47, 496.89 and 166.84

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Solution

The fourth proportional to 331.47, 496.89 and 166.84 is: 250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.47 : 496.89 = 166.84 : x
  2. Step 2: Convert to fraction form
    331.47/496.89 = 166.84/x
  3. Step 3: Cross multiply
    331.47x = 496.89 × 166.84
  4. Step 4: Simplify right side
    331.47x = 82,901.13
  5. Step 5: Solve for x
    x = 82,901.13/331.47
  6. Step 6: Final answer
    x = 250.10

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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.