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Finding the Fourth Proportional to 237.33, 326.97 and 200.70

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Solution

The fourth proportional to 237.33, 326.97 and 200.70 is: 276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.33 : 326.97 = 200.70 : x
  2. Step 2: Convert to fraction form
    237.33/326.97 = 200.70/x
  3. Step 3: Cross multiply
    237.33x = 326.97 × 200.70
  4. Step 4: Simplify right side
    237.33x = 65,622.88
  5. Step 5: Solve for x
    x = 65,622.88/237.33
  6. Step 6: Final answer
    x = 276.50

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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.