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Finding the Fourth Proportional to 331.12, 456.72 and 219.10

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Solution

The fourth proportional to 331.12, 456.72 and 219.10 is: 302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.12 : 456.72 = 219.10 : x
  2. Step 2: Convert to fraction form
    331.12/456.72 = 219.10/x
  3. Step 3: Cross multiply
    331.12x = 456.72 × 219.10
  4. Step 4: Simplify right side
    331.12x = 100,067.35
  5. Step 5: Solve for x
    x = 100,067.35/331.12
  6. Step 6: Final answer
    x = 302.21

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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.