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Finding the Fourth Proportional to 207.82, 311.29 and 166.75

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Solution

The fourth proportional to 207.82, 311.29 and 166.75 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 311.29 = 166.75 : x
  2. Step 2: Convert to fraction form
    207.82/311.29 = 166.75/x
  3. Step 3: Cross multiply
    207.82x = 311.29 × 166.75
  4. Step 4: Simplify right side
    207.82x = 51,907.61
  5. Step 5: Solve for x
    x = 51,907.61/207.82
  6. Step 6: Final answer
    x = 249.77

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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.