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Finding the Fourth Proportional to 232.34, 347.54 and 206.33

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Solution

The fourth proportional to 232.34, 347.54 and 206.33 is: 308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 347.54 = 206.33 : x
  2. Step 2: Convert to fraction form
    232.34/347.54 = 206.33/x
  3. Step 3: Cross multiply
    232.34x = 347.54 × 206.33
  4. Step 4: Simplify right side
    232.34x = 71,705.16
  5. Step 5: Solve for x
    x = 71,705.16/232.34
  6. Step 6: Final answer
    x = 308.63

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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.