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Finding the Fourth Proportional to 447.53, 671.21 and 122.82

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Solution

The fourth proportional to 447.53, 671.21 and 122.82 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.53 : 671.21 = 122.82 : x
  2. Step 2: Convert to fraction form
    447.53/671.21 = 122.82/x
  3. Step 3: Cross multiply
    447.53x = 671.21 × 122.82
  4. Step 4: Simplify right side
    447.53x = 82,437.40
  5. Step 5: Solve for x
    x = 82,437.40/447.53
  6. Step 6: Final answer
    x = 184.21

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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.