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Finding the Fourth Proportional to 311.63, 467.42 and 116.59

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Solution

The fourth proportional to 311.63, 467.42 and 116.59 is: 174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.63 : 467.42 = 116.59 : x
  2. Step 2: Convert to fraction form
    311.63/467.42 = 116.59/x
  3. Step 3: Cross multiply
    311.63x = 467.42 × 116.59
  4. Step 4: Simplify right side
    311.63x = 54,496.50
  5. Step 5: Solve for x
    x = 54,496.50/311.63
  6. Step 6: Final answer
    x = 174.88

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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.