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Finding the Fourth Proportional to 141.90, 196.11 and 141.90

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Solution

The fourth proportional to 141.90, 196.11 and 141.90 is: 196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 196.11 = 141.90 : x
  2. Step 2: Convert to fraction form
    141.90/196.11 = 141.90/x
  3. Step 3: Cross multiply
    141.90x = 196.11 × 141.90
  4. Step 4: Simplify right side
    141.90x = 27,828.01
  5. Step 5: Solve for x
    x = 27,828.01/141.90
  6. Step 6: Final answer
    x = 196.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.