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Finding the Fourth Proportional to 300.28, 450.46 and 105.32

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Solution

The fourth proportional to 300.28, 450.46 and 105.32 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 450.46 = 105.32 : x
  2. Step 2: Convert to fraction form
    300.28/450.46 = 105.32/x
  3. Step 3: Cross multiply
    300.28x = 450.46 × 105.32
  4. Step 4: Simplify right side
    300.28x = 47,442.45
  5. Step 5: Solve for x
    x = 47,442.45/300.28
  6. Step 6: Final answer
    x = 157.99

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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.