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Finding the Fourth Proportional to 399.97, 599.91 and 139.92

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Solution

The fourth proportional to 399.97, 599.91 and 139.92 is: 209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.97 : 599.91 = 139.92 : x
  2. Step 2: Convert to fraction form
    399.97/599.91 = 139.92/x
  3. Step 3: Cross multiply
    399.97x = 599.91 × 139.92
  4. Step 4: Simplify right side
    399.97x = 83,939.41
  5. Step 5: Solve for x
    x = 83,939.41/399.97
  6. Step 6: Final answer
    x = 209.87

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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.