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Finding the Fourth Proportional to 300.94, 451.20 and 164.05

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Solution

The fourth proportional to 300.94, 451.20 and 164.05 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 451.20 = 164.05 : x
  2. Step 2: Convert to fraction form
    300.94/451.20 = 164.05/x
  3. Step 3: Cross multiply
    300.94x = 451.20 × 164.05
  4. Step 4: Simplify right side
    300.94x = 74,019.36
  5. Step 5: Solve for x
    x = 74,019.36/300.94
  6. Step 6: Final answer
    x = 245.96

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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.