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Finding the Fourth Proportional to 331.15, 456.87 and 213.23

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Solution

The fourth proportional to 331.15, 456.87 and 213.23 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.15 : 456.87 = 213.23 : x
  2. Step 2: Convert to fraction form
    331.15/456.87 = 213.23/x
  3. Step 3: Cross multiply
    331.15x = 456.87 × 213.23
  4. Step 4: Simplify right side
    331.15x = 97,418.39
  5. Step 5: Solve for x
    x = 97,418.39/331.15
  6. Step 6: Final answer
    x = 294.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.