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Finding the Fourth Proportional to 331.24, 496.80 and 136.24

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Solution

The fourth proportional to 331.24, 496.80 and 136.24 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.24 : 496.80 = 136.24 : x
  2. Step 2: Convert to fraction form
    331.24/496.80 = 136.24/x
  3. Step 3: Cross multiply
    331.24x = 496.80 × 136.24
  4. Step 4: Simplify right side
    331.24x = 67,684.03
  5. Step 5: Solve for x
    x = 67,684.03/331.24
  6. Step 6: Final answer
    x = 204.34

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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.