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Finding the Fourth Proportional to 299.90, 449.81 and 137.57

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Solution

The fourth proportional to 299.90, 449.81 and 137.57 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 449.81 = 137.57 : x
  2. Step 2: Convert to fraction form
    299.90/449.81 = 137.57/x
  3. Step 3: Cross multiply
    299.90x = 449.81 × 137.57
  4. Step 4: Simplify right side
    299.90x = 61,877.94
  5. Step 5: Solve for x
    x = 61,877.94/299.90
  6. Step 6: Final answer
    x = 206.33

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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.