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Finding the Fourth Proportional to 266.45, 399.64 and 110.33

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Solution

The fourth proportional to 266.45, 399.64 and 110.33 is: 165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.45 : 399.64 = 110.33 : x
  2. Step 2: Convert to fraction form
    266.45/399.64 = 110.33/x
  3. Step 3: Cross multiply
    266.45x = 399.64 × 110.33
  4. Step 4: Simplify right side
    266.45x = 44,092.28
  5. Step 5: Solve for x
    x = 44,092.28/266.45
  6. Step 6: Final answer
    x = 165.48

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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.