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Finding the Fourth Proportional to 208.22, 311.96 and 150.16

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Solution

The fourth proportional to 208.22, 311.96 and 150.16 is: 224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 311.96 = 150.16 : x
  2. Step 2: Convert to fraction form
    208.22/311.96 = 150.16/x
  3. Step 3: Cross multiply
    208.22x = 311.96 × 150.16
  4. Step 4: Simplify right side
    208.22x = 46,843.91
  5. Step 5: Solve for x
    x = 46,843.91/208.22
  6. Step 6: Final answer
    x = 224.97

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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.