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Finding the Fourth Proportional to 232.82, 349.36 and 111.07

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Solution

The fourth proportional to 232.82, 349.36 and 111.07 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.82 : 349.36 = 111.07 : x
  2. Step 2: Convert to fraction form
    232.82/349.36 = 111.07/x
  3. Step 3: Cross multiply
    232.82x = 349.36 × 111.07
  4. Step 4: Simplify right side
    232.82x = 38,804.20
  5. Step 5: Solve for x
    x = 38,804.20/232.82
  6. Step 6: Final answer
    x = 166.67

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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.