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Finding the Fourth Proportional to 222.98, 334.04 and 149.67

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Solution

The fourth proportional to 222.98, 334.04 and 149.67 is: 224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.98 : 334.04 = 149.67 : x
  2. Step 2: Convert to fraction form
    222.98/334.04 = 149.67/x
  3. Step 3: Cross multiply
    222.98x = 334.04 × 149.67
  4. Step 4: Simplify right side
    222.98x = 49,995.02
  5. Step 5: Solve for x
    x = 49,995.02/222.98
  6. Step 6: Final answer
    x = 224.22

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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.