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Finding the Fourth Proportional to 311.45, 467.93 and 196.12

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Solution

The fourth proportional to 311.45, 467.93 and 196.12 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.45 : 467.93 = 196.12 : x
  2. Step 2: Convert to fraction form
    311.45/467.93 = 196.12/x
  3. Step 3: Cross multiply
    311.45x = 467.93 × 196.12
  4. Step 4: Simplify right side
    311.45x = 91,771.51
  5. Step 5: Solve for x
    x = 91,771.51/311.45
  6. Step 6: Final answer
    x = 294.66

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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.