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Finding the Fourth Proportional to 232.54, 348.00 and 159.44

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Solution

The fourth proportional to 232.54, 348.00 and 159.44 is: 238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 348.00 = 159.44 : x
  2. Step 2: Convert to fraction form
    232.54/348.00 = 159.44/x
  3. Step 3: Cross multiply
    232.54x = 348.00 × 159.44
  4. Step 4: Simplify right side
    232.54x = 55,482.78
  5. Step 5: Solve for x
    x = 55,482.78/232.54
  6. Step 6: Final answer
    x = 238.60

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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.