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Finding the Fourth Proportional to 311.80, 467.76 and 116.80

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Solution

The fourth proportional to 311.80, 467.76 and 116.80 is: 175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.80 : 467.76 = 116.80 : x
  2. Step 2: Convert to fraction form
    311.80/467.76 = 116.80/x
  3. Step 3: Cross multiply
    311.80x = 467.76 × 116.80
  4. Step 4: Simplify right side
    311.80x = 54,634.37
  5. Step 5: Solve for x
    x = 54,634.37/311.80
  6. Step 6: Final answer
    x = 175.22

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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.