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Finding the Fourth Proportional to 376.82, 564.86 and 133.19

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Solution

The fourth proportional to 376.82, 564.86 and 133.19 is: 199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.82 : 564.86 = 133.19 : x
  2. Step 2: Convert to fraction form
    376.82/564.86 = 133.19/x
  3. Step 3: Cross multiply
    376.82x = 564.86 × 133.19
  4. Step 4: Simplify right side
    376.82x = 75,232.33
  5. Step 5: Solve for x
    x = 75,232.33/376.82
  6. Step 6: Final answer
    x = 199.65

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Why These Related Problems?

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