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Finding the Fourth Proportional to 163.01, 224.52 and 119.27

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Solution

The fourth proportional to 163.01, 224.52 and 119.27 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.01 : 224.52 = 119.27 : x
  2. Step 2: Convert to fraction form
    163.01/224.52 = 119.27/x
  3. Step 3: Cross multiply
    163.01x = 224.52 × 119.27
  4. Step 4: Simplify right side
    163.01x = 26,778.50
  5. Step 5: Solve for x
    x = 26,778.50/163.01
  6. Step 6: Final answer
    x = 164.28

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Why These Related Problems?

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