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Finding the Fourth Proportional to 232.41, 347.08 and 198.23

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Solution

The fourth proportional to 232.41, 347.08 and 198.23 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.41 : 347.08 = 198.23 : x
  2. Step 2: Convert to fraction form
    232.41/347.08 = 198.23/x
  3. Step 3: Cross multiply
    232.41x = 347.08 × 198.23
  4. Step 4: Simplify right side
    232.41x = 68,801.67
  5. Step 5: Solve for x
    x = 68,801.67/232.41
  6. Step 6: Final answer
    x = 296.04

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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.