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Finding the Fourth Proportional to 376.72, 564.94 and 222.68

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Solution

The fourth proportional to 376.72, 564.94 and 222.68 is: 333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.72 : 564.94 = 222.68 : x
  2. Step 2: Convert to fraction form
    376.72/564.94 = 222.68/x
  3. Step 3: Cross multiply
    376.72x = 564.94 × 222.68
  4. Step 4: Simplify right side
    376.72x = 125,800.84
  5. Step 5: Solve for x
    x = 125,800.84/376.72
  6. Step 6: Final answer
    x = 333.94

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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.