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Finding the Fourth Proportional to 238.59, 327.75 and 205.38

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Solution

The fourth proportional to 238.59, 327.75 and 205.38 is: 282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.59 : 327.75 = 205.38 : x
  2. Step 2: Convert to fraction form
    238.59/327.75 = 205.38/x
  3. Step 3: Cross multiply
    238.59x = 327.75 × 205.38
  4. Step 4: Simplify right side
    238.59x = 67,313.30
  5. Step 5: Solve for x
    x = 67,313.30/238.59
  6. Step 6: Final answer
    x = 282.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.