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Finding the Fourth Proportional to 376.74, 564.94 and 133.14

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Solution

The fourth proportional to 376.74, 564.94 and 133.14 is: 199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.74 : 564.94 = 133.14 : x
  2. Step 2: Convert to fraction form
    376.74/564.94 = 133.14/x
  3. Step 3: Cross multiply
    376.74x = 564.94 × 133.14
  4. Step 4: Simplify right side
    376.74x = 75,216.11
  5. Step 5: Solve for x
    x = 75,216.11/376.74
  6. Step 6: Final answer
    x = 199.65

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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.