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Finding the Fourth Proportional to 234.02, 350.46 and 142.56

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Solution

The fourth proportional to 234.02, 350.46 and 142.56 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 350.46 = 142.56 : x
  2. Step 2: Convert to fraction form
    234.02/350.46 = 142.56/x
  3. Step 3: Cross multiply
    234.02x = 350.46 × 142.56
  4. Step 4: Simplify right side
    234.02x = 49,961.58
  5. Step 5: Solve for x
    x = 49,961.58/234.02
  6. Step 6: Final answer
    x = 213.49

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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.