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Finding the Fourth Proportional to 237.60, 327.65 and 182.32

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Solution

The fourth proportional to 237.60, 327.65 and 182.32 is: 251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 327.65 = 182.32 : x
  2. Step 2: Convert to fraction form
    237.60/327.65 = 182.32/x
  3. Step 3: Cross multiply
    237.60x = 327.65 × 182.32
  4. Step 4: Simplify right side
    237.60x = 59,735.42
  5. Step 5: Solve for x
    x = 59,735.42/237.60
  6. Step 6: Final answer
    x = 251.41

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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.