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Finding the Fourth Proportional to 299.82, 449.40 and 162.74

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Solution

The fourth proportional to 299.82, 449.40 and 162.74 is: 243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 449.40 = 162.74 : x
  2. Step 2: Convert to fraction form
    299.82/449.40 = 162.74/x
  3. Step 3: Cross multiply
    299.82x = 449.40 × 162.74
  4. Step 4: Simplify right side
    299.82x = 73,135.36
  5. Step 5: Solve for x
    x = 73,135.36/299.82
  6. Step 6: Final answer
    x = 243.93

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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.