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Finding the Fourth Proportional to 213.88, 295.12 and 164.68

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Solution

The fourth proportional to 213.88, 295.12 and 164.68 is: 227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 295.12 = 164.68 : x
  2. Step 2: Convert to fraction form
    213.88/295.12 = 164.68/x
  3. Step 3: Cross multiply
    213.88x = 295.12 × 164.68
  4. Step 4: Simplify right side
    213.88x = 48,600.36
  5. Step 5: Solve for x
    x = 48,600.36/213.88
  6. Step 6: Final answer
    x = 227.23

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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.