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Finding the Fourth Proportional to 264.11, 396.13 and 110.01

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Solution

The fourth proportional to 264.11, 396.13 and 110.01 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.11 : 396.13 = 110.01 : x
  2. Step 2: Convert to fraction form
    264.11/396.13 = 110.01/x
  3. Step 3: Cross multiply
    264.11x = 396.13 × 110.01
  4. Step 4: Simplify right side
    264.11x = 43,576.01
  5. Step 5: Solve for x
    x = 43,576.01/264.11
  6. Step 6: Final answer
    x = 164.99

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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.