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Finding the Fourth Proportional to 232.92, 347.82 and 189.66

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Solution

The fourth proportional to 232.92, 347.82 and 189.66 is: 283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 347.82 = 189.66 : x
  2. Step 2: Convert to fraction form
    232.92/347.82 = 189.66/x
  3. Step 3: Cross multiply
    232.92x = 347.82 × 189.66
  4. Step 4: Simplify right side
    232.92x = 65,967.54
  5. Step 5: Solve for x
    x = 65,967.54/232.92
  6. Step 6: Final answer
    x = 283.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.