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Finding the Fourth Proportional to 232.17, 347.54 and 199.37

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Solution

The fourth proportional to 232.17, 347.54 and 199.37 is: 298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.17 : 347.54 = 199.37 : x
  2. Step 2: Convert to fraction form
    232.17/347.54 = 199.37/x
  3. Step 3: Cross multiply
    232.17x = 347.54 × 199.37
  4. Step 4: Simplify right side
    232.17x = 69,287.81
  5. Step 5: Solve for x
    x = 69,287.81/232.17
  6. Step 6: Final answer
    x = 298.44

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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.