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Finding the Fourth Proportional to 238.24, 356.82 and 142.12

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Solution

The fourth proportional to 238.24, 356.82 and 142.12 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.24 : 356.82 = 142.12 : x
  2. Step 2: Convert to fraction form
    238.24/356.82 = 142.12/x
  3. Step 3: Cross multiply
    238.24x = 356.82 × 142.12
  4. Step 4: Simplify right side
    238.24x = 50,711.26
  5. Step 5: Solve for x
    x = 50,711.26/238.24
  6. Step 6: Final answer
    x = 212.86

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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.