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Finding the Fourth Proportional to 293.97, 441.74 and 164.05

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Solution

The fourth proportional to 293.97, 441.74 and 164.05 is: 246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 441.74 = 164.05 : x
  2. Step 2: Convert to fraction form
    293.97/441.74 = 164.05/x
  3. Step 3: Cross multiply
    293.97x = 441.74 × 164.05
  4. Step 4: Simplify right side
    293.97x = 72,467.45
  5. Step 5: Solve for x
    x = 72,467.45/293.97
  6. Step 6: Final answer
    x = 246.51

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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.