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Finding the Fourth Proportional to 300.26, 450.24 and 105.20

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Solution

The fourth proportional to 300.26, 450.24 and 105.20 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.26 : 450.24 = 105.20 : x
  2. Step 2: Convert to fraction form
    300.26/450.24 = 105.20/x
  3. Step 3: Cross multiply
    300.26x = 450.24 × 105.20
  4. Step 4: Simplify right side
    300.26x = 47,364.29
  5. Step 5: Solve for x
    x = 47,364.29/300.26
  6. Step 6: Final answer
    x = 157.74

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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.