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Finding the Fourth Proportional to 299.90, 449.13 and 203.42

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Solution

The fourth proportional to 299.90, 449.13 and 203.42 is: 304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 449.13 = 203.42 : x
  2. Step 2: Convert to fraction form
    299.90/449.13 = 203.42/x
  3. Step 3: Cross multiply
    299.90x = 449.13 × 203.42
  4. Step 4: Simplify right side
    299.90x = 91,362.02
  5. Step 5: Solve for x
    x = 91,362.02/299.90
  6. Step 6: Final answer
    x = 304.64

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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.