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Finding the Fourth Proportional to 238.91, 329.60 and 145.61

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Solution

The fourth proportional to 238.91, 329.60 and 145.61 is: 200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.91 : 329.60 = 145.61 : x
  2. Step 2: Convert to fraction form
    238.91/329.60 = 145.61/x
  3. Step 3: Cross multiply
    238.91x = 329.60 × 145.61
  4. Step 4: Simplify right side
    238.91x = 47,990.68
  5. Step 5: Solve for x
    x = 47,990.68/238.91
  6. Step 6: Final answer
    x = 200.88

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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.