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Finding the Fourth Proportional to 297.45, 410.51 and 164.68

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Solution

The fourth proportional to 297.45, 410.51 and 164.68 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.45 : 410.51 = 164.68 : x
  2. Step 2: Convert to fraction form
    297.45/410.51 = 164.68/x
  3. Step 3: Cross multiply
    297.45x = 410.51 × 164.68
  4. Step 4: Simplify right side
    297.45x = 67,601.96
  5. Step 5: Solve for x
    x = 67,601.96/297.45
  6. Step 6: Final answer
    x = 227.27

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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.