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Finding the Fourth Proportional to 149.93, 224.60 and 122.53

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Solution

The fourth proportional to 149.93, 224.60 and 122.53 is: 183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.93 : 224.60 = 122.53 : x
  2. Step 2: Convert to fraction form
    149.93/224.60 = 122.53/x
  3. Step 3: Cross multiply
    149.93x = 224.60 × 122.53
  4. Step 4: Simplify right side
    149.93x = 27,520.24
  5. Step 5: Solve for x
    x = 27,520.24/149.93
  6. Step 6: Final answer
    x = 183.55

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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.