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Finding the Fourth Proportional to 311.87, 467.78 and 119.36

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Solution

The fourth proportional to 311.87, 467.78 and 119.36 is: 179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.87 : 467.78 = 119.36 : x
  2. Step 2: Convert to fraction form
    311.87/467.78 = 119.36/x
  3. Step 3: Cross multiply
    311.87x = 467.78 × 119.36
  4. Step 4: Simplify right side
    311.87x = 55,831.29
  5. Step 5: Solve for x
    x = 55,831.29/311.87
  6. Step 6: Final answer
    x = 179.02

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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.