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Finding the Fourth Proportional to 138.35, 206.26 and 131.87

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Solution

The fourth proportional to 138.35, 206.26 and 131.87 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.35 : 206.26 = 131.87 : x
  2. Step 2: Convert to fraction form
    138.35/206.26 = 131.87/x
  3. Step 3: Cross multiply
    138.35x = 206.26 × 131.87
  4. Step 4: Simplify right side
    138.35x = 27,199.36
  5. Step 5: Solve for x
    x = 27,199.36/138.35
  6. Step 6: Final answer
    x = 196.59

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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.