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Finding the Fourth Proportional to 238.78, 329.44 and 145.49

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Solution

The fourth proportional to 238.78, 329.44 and 145.49 is: 200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 329.44 = 145.49 : x
  2. Step 2: Convert to fraction form
    238.78/329.44 = 145.49/x
  3. Step 3: Cross multiply
    238.78x = 329.44 × 145.49
  4. Step 4: Simplify right side
    238.78x = 47,930.69
  5. Step 5: Solve for x
    x = 47,930.69/238.78
  6. Step 6: Final answer
    x = 200.73

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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.