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Finding the Fourth Proportional to 376.47, 564.70 and 119.97

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Solution

The fourth proportional to 376.47, 564.70 and 119.97 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.47 : 564.70 = 119.97 : x
  2. Step 2: Convert to fraction form
    376.47/564.70 = 119.97/x
  3. Step 3: Cross multiply
    376.47x = 564.70 × 119.97
  4. Step 4: Simplify right side
    376.47x = 67,747.06
  5. Step 5: Solve for x
    x = 67,747.06/376.47
  6. Step 6: Final answer
    x = 179.95

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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.