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Finding the Fourth Proportional to 297.68, 410.79 and 164.90

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Solution

The fourth proportional to 297.68, 410.79 and 164.90 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 410.79 = 164.90 : x
  2. Step 2: Convert to fraction form
    297.68/410.79 = 164.90/x
  3. Step 3: Cross multiply
    297.68x = 410.79 × 164.90
  4. Step 4: Simplify right side
    297.68x = 67,739.27
  5. Step 5: Solve for x
    x = 67,739.27/297.68
  6. Step 6: Final answer
    x = 227.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.