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Finding the Fourth Proportional to 144.41, 216.15 and 122.54

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Solution

The fourth proportional to 144.41, 216.15 and 122.54 is: 183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.41 : 216.15 = 122.54 : x
  2. Step 2: Convert to fraction form
    144.41/216.15 = 122.54/x
  3. Step 3: Cross multiply
    144.41x = 216.15 × 122.54
  4. Step 4: Simplify right side
    144.41x = 26,485.94
  5. Step 5: Solve for x
    x = 26,485.94/144.41
  6. Step 6: Final answer
    x = 183.41

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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.