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Finding the Fourth Proportional to 496.10, 743.94 and 222.16

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Solution

The fourth proportional to 496.10, 743.94 and 222.16 is: 333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.10 : 743.94 = 222.16 : x
  2. Step 2: Convert to fraction form
    496.10/743.94 = 222.16/x
  3. Step 3: Cross multiply
    496.10x = 743.94 × 222.16
  4. Step 4: Simplify right side
    496.10x = 165,273.71
  5. Step 5: Solve for x
    x = 165,273.71/496.10
  6. Step 6: Final answer
    x = 333.15

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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.