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Finding the Fourth Proportional to 377.27, 566 and 133.82

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Solution

The fourth proportional to 377.27, 566 and 133.82 is: 200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.27 : 566 = 133.82 : x
  2. Step 2: Convert to fraction form
    377.27/566 = 133.82/x
  3. Step 3: Cross multiply
    377.27x = 566 × 133.82
  4. Step 4: Simplify right side
    377.27x = 75,742.12
  5. Step 5: Solve for x
    x = 75,742.12/377.27
  6. Step 6: Final answer
    x = 200.76

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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.