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Finding the Fourth Proportional to 264.38, 396.36 and 81.66

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Solution

The fourth proportional to 264.38, 396.36 and 81.66 is: 122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.38 : 396.36 = 81.66 : x
  2. Step 2: Convert to fraction form
    264.38/396.36 = 81.66/x
  3. Step 3: Cross multiply
    264.38x = 396.36 × 81.66
  4. Step 4: Simplify right side
    264.38x = 32,366.76
  5. Step 5: Solve for x
    x = 32,366.76/264.38
  6. Step 6: Final answer
    x = 122.43

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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.