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Finding the Fourth Proportional to 149.94, 224.43 and 122.70

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Solution

The fourth proportional to 149.94, 224.43 and 122.70 is: 183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.94 : 224.43 = 122.70 : x
  2. Step 2: Convert to fraction form
    149.94/224.43 = 122.70/x
  3. Step 3: Cross multiply
    149.94x = 224.43 × 122.70
  4. Step 4: Simplify right side
    149.94x = 27,537.56
  5. Step 5: Solve for x
    x = 27,537.56/149.94
  6. Step 6: Final answer
    x = 183.66

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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.