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Finding the Fourth Proportional to 311.98, 467.69 and 119.74

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Solution

The fourth proportional to 311.98, 467.69 and 119.74 is: 179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 467.69 = 119.74 : x
  2. Step 2: Convert to fraction form
    311.98/467.69 = 119.74/x
  3. Step 3: Cross multiply
    311.98x = 467.69 × 119.74
  4. Step 4: Simplify right side
    311.98x = 56,001.20
  5. Step 5: Solve for x
    x = 56,001.20/311.98
  6. Step 6: Final answer
    x = 179.50

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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.