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Finding the Fourth Proportional to 163.94, 245.16 and 122.83

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Solution

The fourth proportional to 163.94, 245.16 and 122.83 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.94 : 245.16 = 122.83 : x
  2. Step 2: Convert to fraction form
    163.94/245.16 = 122.83/x
  3. Step 3: Cross multiply
    163.94x = 245.16 × 122.83
  4. Step 4: Simplify right side
    163.94x = 30,113.00
  5. Step 5: Solve for x
    x = 30,113.00/163.94
  6. Step 6: Final answer
    x = 183.68

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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.