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Finding the Fourth Proportional to 299.45, 449.13 and 145.34

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Solution

The fourth proportional to 299.45, 449.13 and 145.34 is: 217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.45 : 449.13 = 145.34 : x
  2. Step 2: Convert to fraction form
    299.45/449.13 = 145.34/x
  3. Step 3: Cross multiply
    299.45x = 449.13 × 145.34
  4. Step 4: Simplify right side
    299.45x = 65,277.68
  5. Step 5: Solve for x
    x = 65,277.68/299.45
  6. Step 6: Final answer
    x = 217.99

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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.