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Finding the Fourth Proportional to 299.42, 449.19 and 116.82

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Solution

The fourth proportional to 299.42, 449.19 and 116.82 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.42 : 449.19 = 116.82 : x
  2. Step 2: Convert to fraction form
    299.42/449.19 = 116.82/x
  3. Step 3: Cross multiply
    299.42x = 449.19 × 116.82
  4. Step 4: Simplify right side
    299.42x = 52,471.55
  5. Step 5: Solve for x
    x = 52,471.55/299.42
  6. Step 6: Final answer
    x = 175.25

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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.