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Finding the Fourth Proportional to 237.80, 327.94 and 182.44

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Solution

The fourth proportional to 237.80, 327.94 and 182.44 is: 251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.80 : 327.94 = 182.44 : x
  2. Step 2: Convert to fraction form
    237.80/327.94 = 182.44/x
  3. Step 3: Cross multiply
    237.80x = 327.94 × 182.44
  4. Step 4: Simplify right side
    237.80x = 59,829.37
  5. Step 5: Solve for x
    x = 59,829.37/237.80
  6. Step 6: Final answer
    x = 251.60

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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.