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Finding the Fourth Proportional to 331.28, 496.68 and 168.92

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Solution

The fourth proportional to 331.28, 496.68 and 168.92 is: 253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.28 : 496.68 = 168.92 : x
  2. Step 2: Convert to fraction form
    331.28/496.68 = 168.92/x
  3. Step 3: Cross multiply
    331.28x = 496.68 × 168.92
  4. Step 4: Simplify right side
    331.28x = 83,899.19
  5. Step 5: Solve for x
    x = 83,899.19/331.28
  6. Step 6: Final answer
    x = 253.26

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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.