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Finding the Fourth Proportional to 237.52, 327.78 and 132.63

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Solution

The fourth proportional to 237.52, 327.78 and 132.63 is: 183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.52 : 327.78 = 132.63 : x
  2. Step 2: Convert to fraction form
    237.52/327.78 = 132.63/x
  3. Step 3: Cross multiply
    237.52x = 327.78 × 132.63
  4. Step 4: Simplify right side
    237.52x = 43,473.46
  5. Step 5: Solve for x
    x = 43,473.46/237.52
  6. Step 6: Final answer
    x = 183.03

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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.