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Finding the Fourth Proportional to 299.51, 449.43 and 137.19

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Solution

The fourth proportional to 299.51, 449.43 and 137.19 is: 205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.51 : 449.43 = 137.19 : x
  2. Step 2: Convert to fraction form
    299.51/449.43 = 137.19/x
  3. Step 3: Cross multiply
    299.51x = 449.43 × 137.19
  4. Step 4: Simplify right side
    299.51x = 61,656.62
  5. Step 5: Solve for x
    x = 61,656.62/299.51
  6. Step 6: Final answer
    x = 205.86

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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.