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Finding the Fourth Proportional to 299.89, 449.91 and 117.31

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Solution

The fourth proportional to 299.89, 449.91 and 117.31 is: 175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.89 : 449.91 = 117.31 : x
  2. Step 2: Convert to fraction form
    299.89/449.91 = 117.31/x
  3. Step 3: Cross multiply
    299.89x = 449.91 × 117.31
  4. Step 4: Simplify right side
    299.89x = 52,778.94
  5. Step 5: Solve for x
    x = 52,778.94/299.89
  6. Step 6: Final answer
    x = 175.99

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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.