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Finding the Fourth Proportional to 264.11, 396.16 and 110.14

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Solution

The fourth proportional to 264.11, 396.16 and 110.14 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.11 : 396.16 = 110.14 : x
  2. Step 2: Convert to fraction form
    264.11/396.16 = 110.14/x
  3. Step 3: Cross multiply
    264.11x = 396.16 × 110.14
  4. Step 4: Simplify right side
    264.11x = 43,633.02
  5. Step 5: Solve for x
    x = 43,633.02/264.11
  6. Step 6: Final answer
    x = 165.21

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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.