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Finding the Fourth Proportional to 300.06, 449.66 and 170.06

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Solution

The fourth proportional to 300.06, 449.66 and 170.06 is: 254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.06 : 449.66 = 170.06 : x
  2. Step 2: Convert to fraction form
    300.06/449.66 = 170.06/x
  3. Step 3: Cross multiply
    300.06x = 449.66 × 170.06
  4. Step 4: Simplify right side
    300.06x = 76,469.18
  5. Step 5: Solve for x
    x = 76,469.18/300.06
  6. Step 6: Final answer
    x = 254.85

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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.