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Finding the Fourth Proportional to 237.14, 327.56 and 182.55

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Solution

The fourth proportional to 237.14, 327.56 and 182.55 is: 252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.14 : 327.56 = 182.55 : x
  2. Step 2: Convert to fraction form
    237.14/327.56 = 182.55/x
  3. Step 3: Cross multiply
    237.14x = 327.56 × 182.55
  4. Step 4: Simplify right side
    237.14x = 59,796.08
  5. Step 5: Solve for x
    x = 59,796.08/237.14
  6. Step 6: Final answer
    x = 252.16

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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.