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Finding the Fourth Proportional to 266.80, 399.66 and 112.67

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Solution

The fourth proportional to 266.80, 399.66 and 112.67 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 399.66 = 112.67 : x
  2. Step 2: Convert to fraction form
    266.80/399.66 = 112.67/x
  3. Step 3: Cross multiply
    266.80x = 399.66 × 112.67
  4. Step 4: Simplify right side
    266.80x = 45,029.69
  5. Step 5: Solve for x
    x = 45,029.69/266.80
  6. Step 6: Final answer
    x = 168.78

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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.