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Finding the Fourth Proportional to 232.26, 347.86 and 140.84

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Solution

The fourth proportional to 232.26, 347.86 and 140.84 is: 210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 347.86 = 140.84 : x
  2. Step 2: Convert to fraction form
    232.26/347.86 = 140.84/x
  3. Step 3: Cross multiply
    232.26x = 347.86 × 140.84
  4. Step 4: Simplify right side
    232.26x = 48,992.60
  5. Step 5: Solve for x
    x = 48,992.60/232.26
  6. Step 6: Final answer
    x = 210.94

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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.