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Finding the Fourth Proportional to 311.99, 467.96 and 157.82

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Solution

The fourth proportional to 311.99, 467.96 and 157.82 is: 236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 467.96 = 157.82 : x
  2. Step 2: Convert to fraction form
    311.99/467.96 = 157.82/x
  3. Step 3: Cross multiply
    311.99x = 467.96 × 157.82
  4. Step 4: Simplify right side
    311.99x = 73,853.45
  5. Step 5: Solve for x
    x = 73,853.45/311.99
  6. Step 6: Final answer
    x = 236.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.