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Finding the Fourth Proportional to 331.34, 496.80 and 169.14

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Solution

The fourth proportional to 331.34, 496.80 and 169.14 is: 253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.34 : 496.80 = 169.14 : x
  2. Step 2: Convert to fraction form
    331.34/496.80 = 169.14/x
  3. Step 3: Cross multiply
    331.34x = 496.80 × 169.14
  4. Step 4: Simplify right side
    331.34x = 84,028.75
  5. Step 5: Solve for x
    x = 84,028.75/331.34
  6. Step 6: Final answer
    x = 253.60

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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.