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Finding the Fourth Proportional to 264.05, 396.19 and 110.09

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Solution

The fourth proportional to 264.05, 396.19 and 110.09 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.05 : 396.19 = 110.09 : x
  2. Step 2: Convert to fraction form
    264.05/396.19 = 110.09/x
  3. Step 3: Cross multiply
    264.05x = 396.19 × 110.09
  4. Step 4: Simplify right side
    264.05x = 43,614.03
  5. Step 5: Solve for x
    x = 43,614.03/264.05
  6. Step 6: Final answer
    x = 165.17

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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.