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Finding the Fourth Proportional to 238.13, 357.20 and 75.80

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Solution

The fourth proportional to 238.13, 357.20 and 75.80 is: 113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 357.20 = 75.80 : x
  2. Step 2: Convert to fraction form
    238.13/357.20 = 75.80/x
  3. Step 3: Cross multiply
    238.13x = 357.20 × 75.80
  4. Step 4: Simplify right side
    238.13x = 27,076.56
  5. Step 5: Solve for x
    x = 27,076.56/238.13
  6. Step 6: Final answer
    x = 113.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.