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Finding the Fourth Proportional to 264.49, 396.59 and 81.83

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Solution

The fourth proportional to 264.49, 396.59 and 81.83 is: 122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.49 : 396.59 = 81.83 : x
  2. Step 2: Convert to fraction form
    264.49/396.59 = 81.83/x
  3. Step 3: Cross multiply
    264.49x = 396.59 × 81.83
  4. Step 4: Simplify right side
    264.49x = 32,452.55
  5. Step 5: Solve for x
    x = 32,452.55/264.49
  6. Step 6: Final answer
    x = 122.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.