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Finding the Fourth Proportional to 237.06, 327.45 and 182.47

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Solution

The fourth proportional to 237.06, 327.45 and 182.47 is: 252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 327.45 = 182.47 : x
  2. Step 2: Convert to fraction form
    237.06/327.45 = 182.47/x
  3. Step 3: Cross multiply
    237.06x = 327.45 × 182.47
  4. Step 4: Simplify right side
    237.06x = 59,750.28
  5. Step 5: Solve for x
    x = 59,750.28/237.06
  6. Step 6: Final answer
    x = 252.05

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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.