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Finding the Fourth Proportional to 299.92, 449.91 and 83.50

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Solution

The fourth proportional to 299.92, 449.91 and 83.50 is: 125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.92 : 449.91 = 83.50 : x
  2. Step 2: Convert to fraction form
    299.92/449.91 = 83.50/x
  3. Step 3: Cross multiply
    299.92x = 449.91 × 83.50
  4. Step 4: Simplify right side
    299.92x = 37,567.49
  5. Step 5: Solve for x
    x = 37,567.49/299.92
  6. Step 6: Final answer
    x = 125.26

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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.