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Finding the Fourth Proportional to 299.66, 449.72 and 162.69

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Solution

The fourth proportional to 299.66, 449.72 and 162.69 is: 244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.66 : 449.72 = 162.69 : x
  2. Step 2: Convert to fraction form
    299.66/449.72 = 162.69/x
  3. Step 3: Cross multiply
    299.66x = 449.72 × 162.69
  4. Step 4: Simplify right side
    299.66x = 73,164.13
  5. Step 5: Solve for x
    x = 73,164.13/299.66
  6. Step 6: Final answer
    x = 244.16

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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.