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Finding the Fourth Proportional to 207.75, 311.69 and 105.13

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Solution

The fourth proportional to 207.75, 311.69 and 105.13 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.75 : 311.69 = 105.13 : x
  2. Step 2: Convert to fraction form
    207.75/311.69 = 105.13/x
  3. Step 3: Cross multiply
    207.75x = 311.69 × 105.13
  4. Step 4: Simplify right side
    207.75x = 32,767.97
  5. Step 5: Solve for x
    x = 32,767.97/207.75
  6. Step 6: Final answer
    x = 157.73

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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.