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Finding the Fourth Proportional to 213.76, 295.26 and 164.92

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Solution

The fourth proportional to 213.76, 295.26 and 164.92 is: 227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 295.26 = 164.92 : x
  2. Step 2: Convert to fraction form
    213.76/295.26 = 164.92/x
  3. Step 3: Cross multiply
    213.76x = 295.26 × 164.92
  4. Step 4: Simplify right side
    213.76x = 48,694.28
  5. Step 5: Solve for x
    x = 48,694.28/213.76
  6. Step 6: Final answer
    x = 227.80

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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.