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Finding the Fourth Proportional to 232.57, 347.98 and 155.73

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Solution

The fourth proportional to 232.57, 347.98 and 155.73 is: 233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.57 : 347.98 = 155.73 : x
  2. Step 2: Convert to fraction form
    232.57/347.98 = 155.73/x
  3. Step 3: Cross multiply
    232.57x = 347.98 × 155.73
  4. Step 4: Simplify right side
    232.57x = 54,190.93
  5. Step 5: Solve for x
    x = 54,190.93/232.57
  6. Step 6: Final answer
    x = 233.01

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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.