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Finding the Fourth Proportional to 447.95, 671.89 and 139.82

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Solution

The fourth proportional to 447.95, 671.89 and 139.82 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.95 : 671.89 = 139.82 : x
  2. Step 2: Convert to fraction form
    447.95/671.89 = 139.82/x
  3. Step 3: Cross multiply
    447.95x = 671.89 × 139.82
  4. Step 4: Simplify right side
    447.95x = 93,944.99
  5. Step 5: Solve for x
    x = 93,944.99/447.95
  6. Step 6: Final answer
    x = 209.72

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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.