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Finding the Fourth Proportional to 237.44, 327.64 and 132.50

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Solution

The fourth proportional to 237.44, 327.64 and 132.50 is: 182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 327.64 = 132.50 : x
  2. Step 2: Convert to fraction form
    237.44/327.64 = 132.50/x
  3. Step 3: Cross multiply
    237.44x = 327.64 × 132.50
  4. Step 4: Simplify right side
    237.44x = 43,412.30
  5. Step 5: Solve for x
    x = 43,412.30/237.44
  6. Step 6: Final answer
    x = 182.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.