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Finding the Fourth Proportional to 213.41, 293.89 and 200.23

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Solution

The fourth proportional to 213.41, 293.89 and 200.23 is: 275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 293.89 = 200.23 : x
  2. Step 2: Convert to fraction form
    213.41/293.89 = 200.23/x
  3. Step 3: Cross multiply
    213.41x = 293.89 × 200.23
  4. Step 4: Simplify right side
    213.41x = 58,844.13
  5. Step 5: Solve for x
    x = 58,844.13/213.41
  6. Step 6: Final answer
    x = 275.73

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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.