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Finding the Fourth Proportional to 311.82, 467.80 and 157.84

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Solution

The fourth proportional to 311.82, 467.80 and 157.84 is: 236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 467.80 = 157.84 : x
  2. Step 2: Convert to fraction form
    311.82/467.80 = 157.84/x
  3. Step 3: Cross multiply
    311.82x = 467.80 × 157.84
  4. Step 4: Simplify right side
    311.82x = 73,837.55
  5. Step 5: Solve for x
    x = 73,837.55/311.82
  6. Step 6: Final answer
    x = 236.80

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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.