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Finding the Fourth Proportional to 163.15, 244.29 and 111.71

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Solution

The fourth proportional to 163.15, 244.29 and 111.71 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.15 : 244.29 = 111.71 : x
  2. Step 2: Convert to fraction form
    163.15/244.29 = 111.71/x
  3. Step 3: Cross multiply
    163.15x = 244.29 × 111.71
  4. Step 4: Simplify right side
    163.15x = 27,289.64
  5. Step 5: Solve for x
    x = 27,289.64/163.15
  6. Step 6: Final answer
    x = 167.27

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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.