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Finding the Fourth Proportional to 300.07, 449.96 and 105.03

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Solution

The fourth proportional to 300.07, 449.96 and 105.03 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.07 : 449.96 = 105.03 : x
  2. Step 2: Convert to fraction form
    300.07/449.96 = 105.03/x
  3. Step 3: Cross multiply
    300.07x = 449.96 × 105.03
  4. Step 4: Simplify right side
    300.07x = 47,257.05
  5. Step 5: Solve for x
    x = 47,257.05/300.07
  6. Step 6: Final answer
    x = 157.49

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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.