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Finding the Fourth Proportional to 233.35, 321.45 and 196.49

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Solution

The fourth proportional to 233.35, 321.45 and 196.49 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.35 : 321.45 = 196.49 : x
  2. Step 2: Convert to fraction form
    233.35/321.45 = 196.49/x
  3. Step 3: Cross multiply
    233.35x = 321.45 × 196.49
  4. Step 4: Simplify right side
    233.35x = 63,161.78
  5. Step 5: Solve for x
    x = 63,161.78/233.35
  6. Step 6: Final answer
    x = 270.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.