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Finding the Fourth Proportional to 311.64, 467.17 and 119.13

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Solution

The fourth proportional to 311.64, 467.17 and 119.13 is: 178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.64 : 467.17 = 119.13 : x
  2. Step 2: Convert to fraction form
    311.64/467.17 = 119.13/x
  3. Step 3: Cross multiply
    311.64x = 467.17 × 119.13
  4. Step 4: Simplify right side
    311.64x = 55,653.96
  5. Step 5: Solve for x
    x = 55,653.96/311.64
  6. Step 6: Final answer
    x = 178.58

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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.