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Finding the Fourth Proportional to 149.38, 222.61 and 148.12

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Solution

The fourth proportional to 149.38, 222.61 and 148.12 is: 220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.38 : 222.61 = 148.12 : x
  2. Step 2: Convert to fraction form
    149.38/222.61 = 148.12/x
  3. Step 3: Cross multiply
    149.38x = 222.61 × 148.12
  4. Step 4: Simplify right side
    149.38x = 32,972.99
  5. Step 5: Solve for x
    x = 32,972.99/149.38
  6. Step 6: Final answer
    x = 220.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.