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Finding the Fourth Proportional to 299.78, 449.56 and 162.80

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Solution

The fourth proportional to 299.78, 449.56 and 162.80 is: 244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 449.56 = 162.80 : x
  2. Step 2: Convert to fraction form
    299.78/449.56 = 162.80/x
  3. Step 3: Cross multiply
    299.78x = 449.56 × 162.80
  4. Step 4: Simplify right side
    299.78x = 73,188.37
  5. Step 5: Solve for x
    x = 73,188.37/299.78
  6. Step 6: Final answer
    x = 244.14

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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.