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Finding the Fourth Proportional to 596.03, 893.97 and 163.13

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Solution

The fourth proportional to 596.03, 893.97 and 163.13 is: 244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.03 : 893.97 = 163.13 : x
  2. Step 2: Convert to fraction form
    596.03/893.97 = 163.13/x
  3. Step 3: Cross multiply
    596.03x = 893.97 × 163.13
  4. Step 4: Simplify right side
    596.03x = 145,828.86
  5. Step 5: Solve for x
    x = 145,828.86/596.03
  6. Step 6: Final answer
    x = 244.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.