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Finding the Fourth Proportional to 399.49, 599.12 and 135.92

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Solution

The fourth proportional to 399.49, 599.12 and 135.92 is: 203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.49 : 599.12 = 135.92 : x
  2. Step 2: Convert to fraction form
    399.49/599.12 = 135.92/x
  3. Step 3: Cross multiply
    399.49x = 599.12 × 135.92
  4. Step 4: Simplify right side
    399.49x = 81,429.73
  5. Step 5: Solve for x
    x = 81,429.73/399.49
  6. Step 6: Final answer
    x = 203.84

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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.