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Finding the Fourth Proportional to 222.98, 334.68 and 120.38

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Solution

The fourth proportional to 222.98, 334.68 and 120.38 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.98 : 334.68 = 120.38 : x
  2. Step 2: Convert to fraction form
    222.98/334.68 = 120.38/x
  3. Step 3: Cross multiply
    222.98x = 334.68 × 120.38
  4. Step 4: Simplify right side
    222.98x = 40,288.18
  5. Step 5: Solve for x
    x = 40,288.18/222.98
  6. Step 6: Final answer
    x = 180.68

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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.