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Finding the Fourth Proportional to 300.16, 449.92 and 137.80

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Solution

The fourth proportional to 300.16, 449.92 and 137.80 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 449.92 = 137.80 : x
  2. Step 2: Convert to fraction form
    300.16/449.92 = 137.80/x
  3. Step 3: Cross multiply
    300.16x = 449.92 × 137.80
  4. Step 4: Simplify right side
    300.16x = 61,998.98
  5. Step 5: Solve for x
    x = 61,998.98/300.16
  6. Step 6: Final answer
    x = 206.55

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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.