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Finding the Fourth Proportional to 203.99, 305.96 and 163.65

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Solution

The fourth proportional to 203.99, 305.96 and 163.65 is: 245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.99 : 305.96 = 163.65 : x
  2. Step 2: Convert to fraction form
    203.99/305.96 = 163.65/x
  3. Step 3: Cross multiply
    203.99x = 305.96 × 163.65
  4. Step 4: Simplify right side
    203.99x = 50,069.54
  5. Step 5: Solve for x
    x = 50,069.54/203.99
  6. Step 6: Final answer
    x = 245.46

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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.