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Finding the Fourth Proportional to 234.14, 351.16 and 165.47

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Solution

The fourth proportional to 234.14, 351.16 and 165.47 is: 248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 351.16 = 165.47 : x
  2. Step 2: Convert to fraction form
    234.14/351.16 = 165.47/x
  3. Step 3: Cross multiply
    234.14x = 351.16 × 165.47
  4. Step 4: Simplify right side
    234.14x = 58,105.73
  5. Step 5: Solve for x
    x = 58,105.73/234.14
  6. Step 6: Final answer
    x = 248.17

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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.