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Finding the Fourth Proportional to 234.02, 350.82 and 142.89

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Solution

The fourth proportional to 234.02, 350.82 and 142.89 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 350.82 = 142.89 : x
  2. Step 2: Convert to fraction form
    234.02/350.82 = 142.89/x
  3. Step 3: Cross multiply
    234.02x = 350.82 × 142.89
  4. Step 4: Simplify right side
    234.02x = 50,128.67
  5. Step 5: Solve for x
    x = 50,128.67/234.02
  6. Step 6: Final answer
    x = 214.21

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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.