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Finding the Fourth Proportional to 311.48, 467.96 and 183.32

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Solution

The fourth proportional to 311.48, 467.96 and 183.32 is: 275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.48 : 467.96 = 183.32 : x
  2. Step 2: Convert to fraction form
    311.48/467.96 = 183.32/x
  3. Step 3: Cross multiply
    311.48x = 467.96 × 183.32
  4. Step 4: Simplify right side
    311.48x = 85,786.43
  5. Step 5: Solve for x
    x = 85,786.43/311.48
  6. Step 6: Final answer
    x = 275.42

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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.