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Finding the Fourth Proportional to 149.36, 223.74 and 122.02

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Solution

The fourth proportional to 149.36, 223.74 and 122.02 is: 182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.36 : 223.74 = 122.02 : x
  2. Step 2: Convert to fraction form
    149.36/223.74 = 122.02/x
  3. Step 3: Cross multiply
    149.36x = 223.74 × 122.02
  4. Step 4: Simplify right side
    149.36x = 27,300.75
  5. Step 5: Solve for x
    x = 27,300.75/149.36
  6. Step 6: Final answer
    x = 182.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.