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Finding the Fourth Proportional to 213.80, 321.83 and 182.48

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Solution

The fourth proportional to 213.80, 321.83 and 182.48 is: 274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 321.83 = 182.48 : x
  2. Step 2: Convert to fraction form
    213.80/321.83 = 182.48/x
  3. Step 3: Cross multiply
    213.80x = 321.83 × 182.48
  4. Step 4: Simplify right side
    213.80x = 58,726.28
  5. Step 5: Solve for x
    x = 58,726.28/213.80
  6. Step 6: Final answer
    x = 274.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.