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Finding the Fourth Proportional to 266.87, 399.87 and 163.94

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Solution

The fourth proportional to 266.87, 399.87 and 163.94 is: 245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.87 : 399.87 = 163.94 : x
  2. Step 2: Convert to fraction form
    266.87/399.87 = 163.94/x
  3. Step 3: Cross multiply
    266.87x = 399.87 × 163.94
  4. Step 4: Simplify right side
    266.87x = 65,555.09
  5. Step 5: Solve for x
    x = 65,555.09/266.87
  6. Step 6: Final answer
    x = 245.64

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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.