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Finding the Fourth Proportional to 131.86, 196.61 and 131.68

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Solution

The fourth proportional to 131.86, 196.61 and 131.68 is: 196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.86 : 196.61 = 131.68 : x
  2. Step 2: Convert to fraction form
    131.86/196.61 = 131.68/x
  3. Step 3: Cross multiply
    131.86x = 196.61 × 131.68
  4. Step 4: Simplify right side
    131.86x = 25,889.60
  5. Step 5: Solve for x
    x = 25,889.60/131.86
  6. Step 6: Final answer
    x = 196.34

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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.