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Finding the Fourth Proportional to 299.25, 449 and 162.13

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Solution

The fourth proportional to 299.25, 449 and 162.13 is: 243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 449 = 162.13 : x
  2. Step 2: Convert to fraction form
    299.25/449 = 162.13/x
  3. Step 3: Cross multiply
    299.25x = 449 × 162.13
  4. Step 4: Simplify right side
    299.25x = 72,796.37
  5. Step 5: Solve for x
    x = 72,796.37/299.25
  6. Step 6: Final answer
    x = 243.26

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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.