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Finding the Fourth Proportional to 137.22, 206.08 and 133.98

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Solution

The fourth proportional to 137.22, 206.08 and 133.98 is: 201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.22 : 206.08 = 133.98 : x
  2. Step 2: Convert to fraction form
    137.22/206.08 = 133.98/x
  3. Step 3: Cross multiply
    137.22x = 206.08 × 133.98
  4. Step 4: Simplify right side
    137.22x = 27,610.60
  5. Step 5: Solve for x
    x = 27,610.60/137.22
  6. Step 6: Final answer
    x = 201.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.