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Finding the Fourth Proportional to 299.28, 449.04 and 137

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Solution

The fourth proportional to 299.28, 449.04 and 137 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 449.04 = 137 : x
  2. Step 2: Convert to fraction form
    299.28/449.04 = 137/x
  3. Step 3: Cross multiply
    299.28x = 449.04 × 137
  4. Step 4: Simplify right side
    299.28x = 61,518.48
  5. Step 5: Solve for x
    x = 61,518.48/299.28
  6. Step 6: Final answer
    x = 205.55

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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.