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Finding the Fourth Proportional to 238.27, 328.82 and 179.95

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Solution

The fourth proportional to 238.27, 328.82 and 179.95 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.27 : 328.82 = 179.95 : x
  2. Step 2: Convert to fraction form
    238.27/328.82 = 179.95/x
  3. Step 3: Cross multiply
    238.27x = 328.82 × 179.95
  4. Step 4: Simplify right side
    238.27x = 59,168.62
  5. Step 5: Solve for x
    x = 59,168.62/238.27
  6. Step 6: Final answer
    x = 248.33

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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.