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Finding the Fourth Proportional to 234.81, 351.87 and 112.93

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Solution

The fourth proportional to 234.81, 351.87 and 112.93 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.81 : 351.87 = 112.93 : x
  2. Step 2: Convert to fraction form
    234.81/351.87 = 112.93/x
  3. Step 3: Cross multiply
    234.81x = 351.87 × 112.93
  4. Step 4: Simplify right side
    234.81x = 39,735.38
  5. Step 5: Solve for x
    x = 39,735.38/234.81
  6. Step 6: Final answer
    x = 169.22

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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.