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Finding the Fourth Proportional to 301.23, 450.86 and 163.94

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Solution

The fourth proportional to 301.23, 450.86 and 163.94 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.23 : 450.86 = 163.94 : x
  2. Step 2: Convert to fraction form
    301.23/450.86 = 163.94/x
  3. Step 3: Cross multiply
    301.23x = 450.86 × 163.94
  4. Step 4: Simplify right side
    301.23x = 73,910.91
  5. Step 5: Solve for x
    x = 73,910.91/301.23
  6. Step 6: Final answer
    x = 245.36

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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.