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Finding the Fourth Proportional to 300.18, 449.66 and 137.64

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Solution

The fourth proportional to 300.18, 449.66 and 137.64 is: 206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.18 : 449.66 = 137.64 : x
  2. Step 2: Convert to fraction form
    300.18/449.66 = 137.64/x
  3. Step 3: Cross multiply
    300.18x = 449.66 × 137.64
  4. Step 4: Simplify right side
    300.18x = 61,891.20
  5. Step 5: Solve for x
    x = 61,891.20/300.18
  6. Step 6: Final answer
    x = 206.18

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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.