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Finding the Fourth Proportional to 141.84, 196.74 and 138.24

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Solution

The fourth proportional to 141.84, 196.74 and 138.24 is: 191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 196.74 = 138.24 : x
  2. Step 2: Convert to fraction form
    141.84/196.74 = 138.24/x
  3. Step 3: Cross multiply
    141.84x = 196.74 × 138.24
  4. Step 4: Simplify right side
    141.84x = 27,197.34
  5. Step 5: Solve for x
    x = 27,197.34/141.84
  6. Step 6: Final answer
    x = 191.75

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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.