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Finding the Fourth Proportional to 131.82, 196.18 and 131.42

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Solution

The fourth proportional to 131.82, 196.18 and 131.42 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.82 : 196.18 = 131.42 : x
  2. Step 2: Convert to fraction form
    131.82/196.18 = 131.42/x
  3. Step 3: Cross multiply
    131.82x = 196.18 × 131.42
  4. Step 4: Simplify right side
    131.82x = 25,780.99
  5. Step 5: Solve for x
    x = 25,780.99/131.82
  6. Step 6: Final answer
    x = 195.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.