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Finding the Fourth Proportional to 232.18, 348.19 and 128.05

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Solution

The fourth proportional to 232.18, 348.19 and 128.05 is: 192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.18 : 348.19 = 128.05 : x
  2. Step 2: Convert to fraction form
    232.18/348.19 = 128.05/x
  3. Step 3: Cross multiply
    232.18x = 348.19 × 128.05
  4. Step 4: Simplify right side
    232.18x = 44,585.73
  5. Step 5: Solve for x
    x = 44,585.73/232.18
  6. Step 6: Final answer
    x = 192.03

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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.