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Finding the Fourth Proportional to 207.86, 311.85 and 166.43

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Solution

The fourth proportional to 207.86, 311.85 and 166.43 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.86 : 311.85 = 166.43 : x
  2. Step 2: Convert to fraction form
    207.86/311.85 = 166.43/x
  3. Step 3: Cross multiply
    207.86x = 311.85 × 166.43
  4. Step 4: Simplify right side
    207.86x = 51,899.64
  5. Step 5: Solve for x
    x = 51,899.64/207.86
  6. Step 6: Final answer
    x = 249.69

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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.