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Finding the Fourth Proportional to 237.85, 327.97 and 154.80

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Solution

The fourth proportional to 237.85, 327.97 and 154.80 is: 213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.85 : 327.97 = 154.80 : x
  2. Step 2: Convert to fraction form
    237.85/327.97 = 154.80/x
  3. Step 3: Cross multiply
    237.85x = 327.97 × 154.80
  4. Step 4: Simplify right side
    237.85x = 50,769.95
  5. Step 5: Solve for x
    x = 50,769.95/237.85
  6. Step 6: Final answer
    x = 213.46

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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.