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Finding the Fourth Proportional to 207.91, 311.89 and 164.65

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Solution

The fourth proportional to 207.91, 311.89 and 164.65 is: 247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.91 : 311.89 = 164.65 : x
  2. Step 2: Convert to fraction form
    207.91/311.89 = 164.65/x
  3. Step 3: Cross multiply
    207.91x = 311.89 × 164.65
  4. Step 4: Simplify right side
    207.91x = 51,353.47
  5. Step 5: Solve for x
    x = 51,353.47/207.91
  6. Step 6: Final answer
    x = 247.00

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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.