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Finding the Fourth Proportional to 299.21, 449.11 and 162.55

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Solution

The fourth proportional to 299.21, 449.11 and 162.55 is: 243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 449.11 = 162.55 : x
  2. Step 2: Convert to fraction form
    299.21/449.11 = 162.55/x
  3. Step 3: Cross multiply
    299.21x = 449.11 × 162.55
  4. Step 4: Simplify right side
    299.21x = 73,001.30
  5. Step 5: Solve for x
    x = 73,001.30/299.21
  6. Step 6: Final answer
    x = 243.98

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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.