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Finding the Fourth Proportional to 163.48, 244.78 and 111.87

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Solution

The fourth proportional to 163.48, 244.78 and 111.87 is: 167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.48 : 244.78 = 111.87 : x
  2. Step 2: Convert to fraction form
    163.48/244.78 = 111.87/x
  3. Step 3: Cross multiply
    163.48x = 244.78 × 111.87
  4. Step 4: Simplify right side
    163.48x = 27,383.54
  5. Step 5: Solve for x
    x = 27,383.54/163.48
  6. Step 6: Final answer
    x = 167.50

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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.