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Finding the Fourth Proportional to 237.89, 355.27 and 205.46

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Solution

The fourth proportional to 237.89, 355.27 and 205.46 is: 306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.89 : 355.27 = 205.46 : x
  2. Step 2: Convert to fraction form
    237.89/355.27 = 205.46/x
  3. Step 3: Cross multiply
    237.89x = 355.27 × 205.46
  4. Step 4: Simplify right side
    237.89x = 72,993.59
  5. Step 5: Solve for x
    x = 72,993.59/237.89
  6. Step 6: Final answer
    x = 306.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.