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Finding the Fourth Proportional to 300.32, 450.88 and 163.44

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Solution

The fourth proportional to 300.32, 450.88 and 163.44 is: 245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.32 : 450.88 = 163.44 : x
  2. Step 2: Convert to fraction form
    300.32/450.88 = 163.44/x
  3. Step 3: Cross multiply
    300.32x = 450.88 × 163.44
  4. Step 4: Simplify right side
    300.32x = 73,691.83
  5. Step 5: Solve for x
    x = 73,691.83/300.32
  6. Step 6: Final answer
    x = 245.38

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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.