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Finding the Fourth Proportional to 266.22, 399.12 and 163.56

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Solution

The fourth proportional to 266.22, 399.12 and 163.56 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.22 : 399.12 = 163.56 : x
  2. Step 2: Convert to fraction form
    266.22/399.12 = 163.56/x
  3. Step 3: Cross multiply
    266.22x = 399.12 × 163.56
  4. Step 4: Simplify right side
    266.22x = 65,280.07
  5. Step 5: Solve for x
    x = 65,280.07/266.22
  6. Step 6: Final answer
    x = 245.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.