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Finding the Fourth Proportional to 238.50, 357.82 and 142.26

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Solution

The fourth proportional to 238.50, 357.82 and 142.26 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.50 : 357.82 = 142.26 : x
  2. Step 2: Convert to fraction form
    238.50/357.82 = 142.26/x
  3. Step 3: Cross multiply
    238.50x = 357.82 × 142.26
  4. Step 4: Simplify right side
    238.50x = 50,903.47
  5. Step 5: Solve for x
    x = 50,903.47/238.50
  6. Step 6: Final answer
    x = 213.43

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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.