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Finding the Fourth Proportional to 299.18, 449.06 and 201.37

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Solution

The fourth proportional to 299.18, 449.06 and 201.37 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.18 : 449.06 = 201.37 : x
  2. Step 2: Convert to fraction form
    299.18/449.06 = 201.37/x
  3. Step 3: Cross multiply
    299.18x = 449.06 × 201.37
  4. Step 4: Simplify right side
    299.18x = 90,426.59
  5. Step 5: Solve for x
    x = 90,426.59/299.18
  6. Step 6: Final answer
    x = 302.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.