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Finding the Fourth Proportional to 311.65, 467.51 and 116.66

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Solution

The fourth proportional to 311.65, 467.51 and 116.66 is: 175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 467.51 = 116.66 : x
  2. Step 2: Convert to fraction form
    311.65/467.51 = 116.66/x
  3. Step 3: Cross multiply
    311.65x = 467.51 × 116.66
  4. Step 4: Simplify right side
    311.65x = 54,540.30
  5. Step 5: Solve for x
    x = 54,540.30/311.65
  6. Step 6: Final answer
    x = 175.01

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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.