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Finding the Fourth Proportional to 300.95, 450.70 and 163.65

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Solution

The fourth proportional to 300.95, 450.70 and 163.65 is: 245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.95 : 450.70 = 163.65 : x
  2. Step 2: Convert to fraction form
    300.95/450.70 = 163.65/x
  3. Step 3: Cross multiply
    300.95x = 450.70 × 163.65
  4. Step 4: Simplify right side
    300.95x = 73,758.34
  5. Step 5: Solve for x
    x = 73,758.34/300.95
  6. Step 6: Final answer
    x = 245.09

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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.