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Finding the Fourth Proportional to 222.82, 334.08 and 141.58

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Solution

The fourth proportional to 222.82, 334.08 and 141.58 is: 212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.82 : 334.08 = 141.58 : x
  2. Step 2: Convert to fraction form
    222.82/334.08 = 141.58/x
  3. Step 3: Cross multiply
    222.82x = 334.08 × 141.58
  4. Step 4: Simplify right side
    222.82x = 47,299.05
  5. Step 5: Solve for x
    x = 47,299.05/222.82
  6. Step 6: Final answer
    x = 212.27

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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.