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Finding the Fourth Proportional to 232.26, 347.58 and 193.80

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Solution

The fourth proportional to 232.26, 347.58 and 193.80 is: 290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 347.58 = 193.80 : x
  2. Step 2: Convert to fraction form
    232.26/347.58 = 193.80/x
  3. Step 3: Cross multiply
    232.26x = 347.58 × 193.80
  4. Step 4: Simplify right side
    232.26x = 67,361.00
  5. Step 5: Solve for x
    x = 67,361.00/232.26
  6. Step 6: Final answer
    x = 290.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.