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Finding the Fourth Proportional to 297.43, 410.46 and 164.65

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Solution

The fourth proportional to 297.43, 410.46 and 164.65 is: 227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.43 : 410.46 = 164.65 : x
  2. Step 2: Convert to fraction form
    297.43/410.46 = 164.65/x
  3. Step 3: Cross multiply
    297.43x = 410.46 × 164.65
  4. Step 4: Simplify right side
    297.43x = 67,582.24
  5. Step 5: Solve for x
    x = 67,582.24/297.43
  6. Step 6: Final answer
    x = 227.22

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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.