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Finding the Fourth Proportional to 141.56, 213.89 and 140.75

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Solution

The fourth proportional to 141.56, 213.89 and 140.75 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.56 : 213.89 = 140.75 : x
  2. Step 2: Convert to fraction form
    141.56/213.89 = 140.75/x
  3. Step 3: Cross multiply
    141.56x = 213.89 × 140.75
  4. Step 4: Simplify right side
    141.56x = 30,105.02
  5. Step 5: Solve for x
    x = 30,105.02/141.56
  6. Step 6: Final answer
    x = 212.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.