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Finding the Fourth Proportional to 331.67, 497.10 and 223.13

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Solution

The fourth proportional to 331.67, 497.10 and 223.13 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.67 : 497.10 = 223.13 : x
  2. Step 2: Convert to fraction form
    331.67/497.10 = 223.13/x
  3. Step 3: Cross multiply
    331.67x = 497.10 × 223.13
  4. Step 4: Simplify right side
    331.67x = 110,917.92
  5. Step 5: Solve for x
    x = 110,917.92/331.67
  6. Step 6: Final answer
    x = 334.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.