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Finding the Fourth Proportional to 238.04, 326.75 and 211.23

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Solution

The fourth proportional to 238.04, 326.75 and 211.23 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.04 : 326.75 = 211.23 : x
  2. Step 2: Convert to fraction form
    238.04/326.75 = 211.23/x
  3. Step 3: Cross multiply
    238.04x = 326.75 × 211.23
  4. Step 4: Simplify right side
    238.04x = 69,020.07
  5. Step 5: Solve for x
    x = 69,020.07/238.04
  6. Step 6: Final answer
    x = 289.95

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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.