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Finding the Fourth Proportional to 447.86, 671.60 and 139.65

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Solution

The fourth proportional to 447.86, 671.60 and 139.65 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.86 : 671.60 = 139.65 : x
  2. Step 2: Convert to fraction form
    447.86/671.60 = 139.65/x
  3. Step 3: Cross multiply
    447.86x = 671.60 × 139.65
  4. Step 4: Simplify right side
    447.86x = 93,788.94
  5. Step 5: Solve for x
    x = 93,788.94/447.86
  6. Step 6: Final answer
    x = 209.42

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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.