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Finding the Fourth Proportional to 222.95, 334.94 and 140.94

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Solution

The fourth proportional to 222.95, 334.94 and 140.94 is: 211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.95 : 334.94 = 140.94 : x
  2. Step 2: Convert to fraction form
    222.95/334.94 = 140.94/x
  3. Step 3: Cross multiply
    222.95x = 334.94 × 140.94
  4. Step 4: Simplify right side
    222.95x = 47,205.74
  5. Step 5: Solve for x
    x = 47,205.74/222.95
  6. Step 6: Final answer
    x = 211.73

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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.