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Finding the Fourth Proportional to 297.15, 410.05 and 164.37

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Solution

The fourth proportional to 297.15, 410.05 and 164.37 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.15 : 410.05 = 164.37 : x
  2. Step 2: Convert to fraction form
    297.15/410.05 = 164.37/x
  3. Step 3: Cross multiply
    297.15x = 410.05 × 164.37
  4. Step 4: Simplify right side
    297.15x = 67,398.87
  5. Step 5: Solve for x
    x = 67,398.87/297.15
  6. Step 6: Final answer
    x = 226.82

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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.