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Finding the Fourth Proportional to 237.43, 327.60 and 171.82

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Solution

The fourth proportional to 237.43, 327.60 and 171.82 is: 237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.43 : 327.60 = 171.82 : x
  2. Step 2: Convert to fraction form
    237.43/327.60 = 171.82/x
  3. Step 3: Cross multiply
    237.43x = 327.60 × 171.82
  4. Step 4: Simplify right side
    237.43x = 56,288.23
  5. Step 5: Solve for x
    x = 56,288.23/237.43
  6. Step 6: Final answer
    x = 237.07

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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.