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Finding the Fourth Proportional to 141.48, 196.56 and 138.78

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Solution

The fourth proportional to 141.48, 196.56 and 138.78 is: 192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.48 : 196.56 = 138.78 : x
  2. Step 2: Convert to fraction form
    141.48/196.56 = 138.78/x
  3. Step 3: Cross multiply
    141.48x = 196.56 × 138.78
  4. Step 4: Simplify right side
    141.48x = 27,278.60
  5. Step 5: Solve for x
    x = 27,278.60/141.48
  6. Step 6: Final answer
    x = 192.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.