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Finding the Fourth Proportional to 331.10, 496.13 and 209.11

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Solution

The fourth proportional to 331.10, 496.13 and 209.11 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.10 : 496.13 = 209.11 : x
  2. Step 2: Convert to fraction form
    331.10/496.13 = 209.11/x
  3. Step 3: Cross multiply
    331.10x = 496.13 × 209.11
  4. Step 4: Simplify right side
    331.10x = 103,745.74
  5. Step 5: Solve for x
    x = 103,745.74/331.10
  6. Step 6: Final answer
    x = 313.34

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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.