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Finding the Fourth Proportional to 376.44, 564.74 and 132.97

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Solution

The fourth proportional to 376.44, 564.74 and 132.97 is: 199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.44 : 564.74 = 132.97 : x
  2. Step 2: Convert to fraction form
    376.44/564.74 = 132.97/x
  3. Step 3: Cross multiply
    376.44x = 564.74 × 132.97
  4. Step 4: Simplify right side
    376.44x = 75,089.99
  5. Step 5: Solve for x
    x = 75,089.99/376.44
  6. Step 6: Final answer
    x = 199.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.