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Finding the Fourth Proportional to 311.19, 467.21 and 195.27

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Solution

The fourth proportional to 311.19, 467.21 and 195.27 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.19 : 467.21 = 195.27 : x
  2. Step 2: Convert to fraction form
    311.19/467.21 = 195.27/x
  3. Step 3: Cross multiply
    311.19x = 467.21 × 195.27
  4. Step 4: Simplify right side
    311.19x = 91,232.74
  5. Step 5: Solve for x
    x = 91,232.74/311.19
  6. Step 6: Final answer
    x = 293.17

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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.