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Finding the Fourth Proportional to 299.65, 449.61 and 218.92

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Solution

The fourth proportional to 299.65, 449.61 and 218.92 is: 328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.65 : 449.61 = 218.92 : x
  2. Step 2: Convert to fraction form
    299.65/449.61 = 218.92/x
  3. Step 3: Cross multiply
    299.65x = 449.61 × 218.92
  4. Step 4: Simplify right side
    299.65x = 98,428.62
  5. Step 5: Solve for x
    x = 98,428.62/299.65
  6. Step 6: Final answer
    x = 328.48

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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.