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Finding the Fourth Proportional to 213.92, 295.44 and 190.88

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Solution

The fourth proportional to 213.92, 295.44 and 190.88 is: 263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 295.44 = 190.88 : x
  2. Step 2: Convert to fraction form
    213.92/295.44 = 190.88/x
  3. Step 3: Cross multiply
    213.92x = 295.44 × 190.88
  4. Step 4: Simplify right side
    213.92x = 56,393.59
  5. Step 5: Solve for x
    x = 56,393.59/213.92
  6. Step 6: Final answer
    x = 263.62

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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.