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Finding the Fourth Proportional to 297.57, 410.64 and 164.80

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Solution

The fourth proportional to 297.57, 410.64 and 164.80 is: 227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.57 : 410.64 = 164.80 : x
  2. Step 2: Convert to fraction form
    297.57/410.64 = 164.80/x
  3. Step 3: Cross multiply
    297.57x = 410.64 × 164.80
  4. Step 4: Simplify right side
    297.57x = 67,673.47
  5. Step 5: Solve for x
    x = 67,673.47/297.57
  6. Step 6: Final answer
    x = 227.42

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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.