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Finding the Fourth Proportional to 447.69, 671.51 and 139.52

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Solution

The fourth proportional to 447.69, 671.51 and 139.52 is: 209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.69 : 671.51 = 139.52 : x
  2. Step 2: Convert to fraction form
    447.69/671.51 = 139.52/x
  3. Step 3: Cross multiply
    447.69x = 671.51 × 139.52
  4. Step 4: Simplify right side
    447.69x = 93,686.93
  5. Step 5: Solve for x
    x = 93,686.93/447.69
  6. Step 6: Final answer
    x = 209.27

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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.