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Finding the Fourth Proportional to 232.23, 347.86 and 110.59

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Solution

The fourth proportional to 232.23, 347.86 and 110.59 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.23 : 347.86 = 110.59 : x
  2. Step 2: Convert to fraction form
    232.23/347.86 = 110.59/x
  3. Step 3: Cross multiply
    232.23x = 347.86 × 110.59
  4. Step 4: Simplify right side
    232.23x = 38,469.84
  5. Step 5: Solve for x
    x = 38,469.84/232.23
  6. Step 6: Final answer
    x = 165.65

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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.