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Finding the Fourth Proportional to 299.90, 449.91 and 137.63

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Solution

The fourth proportional to 299.90, 449.91 and 137.63 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 449.91 = 137.63 : x
  2. Step 2: Convert to fraction form
    299.90/449.91 = 137.63/x
  3. Step 3: Cross multiply
    299.90x = 449.91 × 137.63
  4. Step 4: Simplify right side
    299.90x = 61,921.11
  5. Step 5: Solve for x
    x = 61,921.11/299.90
  6. Step 6: Final answer
    x = 206.47

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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.