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Finding the Fourth Proportional to 299.61, 449.38 and 94.14

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Solution

The fourth proportional to 299.61, 449.38 and 94.14 is: 141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 449.38 = 94.14 : x
  2. Step 2: Convert to fraction form
    299.61/449.38 = 94.14/x
  3. Step 3: Cross multiply
    299.61x = 449.38 × 94.14
  4. Step 4: Simplify right side
    299.61x = 42,304.63
  5. Step 5: Solve for x
    x = 42,304.63/299.61
  6. Step 6: Final answer
    x = 141.20

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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.