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Finding the Fourth Proportional to 311.26, 467.08 and 149.08

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Solution

The fourth proportional to 311.26, 467.08 and 149.08 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.26 : 467.08 = 149.08 : x
  2. Step 2: Convert to fraction form
    311.26/467.08 = 149.08/x
  3. Step 3: Cross multiply
    311.26x = 467.08 × 149.08
  4. Step 4: Simplify right side
    311.26x = 69,632.29
  5. Step 5: Solve for x
    x = 69,632.29/311.26
  6. Step 6: Final answer
    x = 223.71

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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.