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Finding the Fourth Proportional to 596.81, 895.22 and 163.97

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Solution

The fourth proportional to 596.81, 895.22 and 163.97 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.81 : 895.22 = 163.97 : x
  2. Step 2: Convert to fraction form
    596.81/895.22 = 163.97/x
  3. Step 3: Cross multiply
    596.81x = 895.22 × 163.97
  4. Step 4: Simplify right side
    596.81x = 146,791.87
  5. Step 5: Solve for x
    x = 146,791.87/596.81
  6. Step 6: Final answer
    x = 245.96

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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.