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Finding the Fourth Proportional to 301.03, 415.42 and 163.03

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Solution

The fourth proportional to 301.03, 415.42 and 163.03 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.03 : 415.42 = 163.03 : x
  2. Step 2: Convert to fraction form
    301.03/415.42 = 163.03/x
  3. Step 3: Cross multiply
    301.03x = 415.42 × 163.03
  4. Step 4: Simplify right side
    301.03x = 67,727.05
  5. Step 5: Solve for x
    x = 67,727.05/301.03
  6. Step 6: Final answer
    x = 224.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.