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Finding the Fourth Proportional to 311.99, 467.99 and 117.09

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Solution

The fourth proportional to 311.99, 467.99 and 117.09 is: 175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 467.99 = 117.09 : x
  2. Step 2: Convert to fraction form
    311.99/467.99 = 117.09/x
  3. Step 3: Cross multiply
    311.99x = 467.99 × 117.09
  4. Step 4: Simplify right side
    311.99x = 54,794.02
  5. Step 5: Solve for x
    x = 54,794.02/311.99
  6. Step 6: Final answer
    x = 175.63

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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.