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Finding the Fourth Proportional to 222.95, 334.45 and 107.40

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Solution

The fourth proportional to 222.95, 334.45 and 107.40 is: 161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.95 : 334.45 = 107.40 : x
  2. Step 2: Convert to fraction form
    222.95/334.45 = 107.40/x
  3. Step 3: Cross multiply
    222.95x = 334.45 × 107.40
  4. Step 4: Simplify right side
    222.95x = 35,920.68
  5. Step 5: Solve for x
    x = 35,920.68/222.95
  6. Step 6: Final answer
    x = 161.11

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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.