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Finding the Fourth Proportional to 377.48, 566.12 and 133.97

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Solution

The fourth proportional to 377.48, 566.12 and 133.97 is: 200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.48 : 566.12 = 133.97 : x
  2. Step 2: Convert to fraction form
    377.48/566.12 = 133.97/x
  3. Step 3: Cross multiply
    377.48x = 566.12 × 133.97
  4. Step 4: Simplify right side
    377.48x = 75,839.60
  5. Step 5: Solve for x
    x = 75,839.60/377.48
  6. Step 6: Final answer
    x = 200.91

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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.