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Finding the Fourth Proportional to 301.73, 451.61 and 164.43

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Solution

The fourth proportional to 301.73, 451.61 and 164.43 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.73 : 451.61 = 164.43 : x
  2. Step 2: Convert to fraction form
    301.73/451.61 = 164.43/x
  3. Step 3: Cross multiply
    301.73x = 451.61 × 164.43
  4. Step 4: Simplify right side
    301.73x = 74,257.41
  5. Step 5: Solve for x
    x = 74,257.41/301.73
  6. Step 6: Final answer
    x = 246.11

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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.