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Finding the Fourth Proportional to 163.79, 244.72 and 121.92

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Solution

The fourth proportional to 163.79, 244.72 and 121.92 is: 182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.79 : 244.72 = 121.92 : x
  2. Step 2: Convert to fraction form
    163.79/244.72 = 121.92/x
  3. Step 3: Cross multiply
    163.79x = 244.72 × 121.92
  4. Step 4: Simplify right side
    163.79x = 29,836.26
  5. Step 5: Solve for x
    x = 29,836.26/163.79
  6. Step 6: Final answer
    x = 182.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.