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Finding the Fourth Proportional to 297.57, 410.64 and 164.79

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Solution

The fourth proportional to 297.57, 410.64 and 164.79 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.57 : 410.64 = 164.79 : x
  2. Step 2: Convert to fraction form
    297.57/410.64 = 164.79/x
  3. Step 3: Cross multiply
    297.57x = 410.64 × 164.79
  4. Step 4: Simplify right side
    297.57x = 67,669.37
  5. Step 5: Solve for x
    x = 67,669.37/297.57
  6. Step 6: Final answer
    x = 227.41

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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.