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Finding the Fourth Proportional to 299.53, 449.29 and 94.09

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Solution

The fourth proportional to 299.53, 449.29 and 94.09 is: 141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.53 : 449.29 = 94.09 : x
  2. Step 2: Convert to fraction form
    299.53/449.29 = 94.09/x
  3. Step 3: Cross multiply
    299.53x = 449.29 × 94.09
  4. Step 4: Simplify right side
    299.53x = 42,273.53
  5. Step 5: Solve for x
    x = 42,273.53/299.53
  6. Step 6: Final answer
    x = 141.13

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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.