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Finding the Fourth Proportional to 300.46, 450.52 and 105.37

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Solution

The fourth proportional to 300.46, 450.52 and 105.37 is: 158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.46 : 450.52 = 105.37 : x
  2. Step 2: Convert to fraction form
    300.46/450.52 = 105.37/x
  3. Step 3: Cross multiply
    300.46x = 450.52 × 105.37
  4. Step 4: Simplify right side
    300.46x = 47,471.29
  5. Step 5: Solve for x
    x = 47,471.29/300.46
  6. Step 6: Final answer
    x = 158.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.