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Finding the Fourth Proportional to 311.66, 467.60 and 195.98

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Solution

The fourth proportional to 311.66, 467.60 and 195.98 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.66 : 467.60 = 195.98 : x
  2. Step 2: Convert to fraction form
    311.66/467.60 = 195.98/x
  3. Step 3: Cross multiply
    311.66x = 467.60 × 195.98
  4. Step 4: Simplify right side
    311.66x = 91,636.93
  5. Step 5: Solve for x
    x = 91,636.93/311.66
  6. Step 6: Final answer
    x = 294.03

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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.