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Finding the Fourth Proportional to 142.67, 213.90 and 119.89

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Solution

The fourth proportional to 142.67, 213.90 and 119.89 is: 179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.67 : 213.90 = 119.89 : x
  2. Step 2: Convert to fraction form
    142.67/213.90 = 119.89/x
  3. Step 3: Cross multiply
    142.67x = 213.90 × 119.89
  4. Step 4: Simplify right side
    142.67x = 25,644.47
  5. Step 5: Solve for x
    x = 25,644.47/142.67
  6. Step 6: Final answer
    x = 179.75

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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.