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Finding the Fourth Proportional to 299.56, 449.37 and 162.80

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Solution

The fourth proportional to 299.56, 449.37 and 162.80 is: 244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 449.37 = 162.80 : x
  2. Step 2: Convert to fraction form
    299.56/449.37 = 162.80/x
  3. Step 3: Cross multiply
    299.56x = 449.37 × 162.80
  4. Step 4: Simplify right side
    299.56x = 73,158.56
  5. Step 5: Solve for x
    x = 73,158.56/299.56
  6. Step 6: Final answer
    x = 244.22

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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.