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Finding the Fourth Proportional to 234.21, 350.75 and 142.64

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Solution

The fourth proportional to 234.21, 350.75 and 142.64 is: 213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.21 : 350.75 = 142.64 : x
  2. Step 2: Convert to fraction form
    234.21/350.75 = 142.64/x
  3. Step 3: Cross multiply
    234.21x = 350.75 × 142.64
  4. Step 4: Simplify right side
    234.21x = 50,028.51
  5. Step 5: Solve for x
    x = 50,028.51/234.21
  6. Step 6: Final answer
    x = 213.61

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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.