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Finding the Fourth Proportional to 299.41, 449.14 and 93.94

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Solution

The fourth proportional to 299.41, 449.14 and 93.94 is: 140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.41 : 449.14 = 93.94 : x
  2. Step 2: Convert to fraction form
    299.41/449.14 = 93.94/x
  3. Step 3: Cross multiply
    299.41x = 449.14 × 93.94
  4. Step 4: Simplify right side
    299.41x = 42,192.21
  5. Step 5: Solve for x
    x = 42,192.21/299.41
  6. Step 6: Final answer
    x = 140.92

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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.