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Finding the Fourth Proportional to 122.41, 182.38 and 119.68

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Solution

The fourth proportional to 122.41, 182.38 and 119.68 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.41 : 182.38 = 119.68 : x
  2. Step 2: Convert to fraction form
    122.41/182.38 = 119.68/x
  3. Step 3: Cross multiply
    122.41x = 182.38 × 119.68
  4. Step 4: Simplify right side
    122.41x = 21,827.24
  5. Step 5: Solve for x
    x = 21,827.24/122.41
  6. Step 6: Final answer
    x = 178.31

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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.