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Finding the Fourth Proportional to 137.36, 204.90 and 134.80

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Solution

The fourth proportional to 137.36, 204.90 and 134.80 is: 201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.36 : 204.90 = 134.80 : x
  2. Step 2: Convert to fraction form
    137.36/204.90 = 134.80/x
  3. Step 3: Cross multiply
    137.36x = 204.90 × 134.80
  4. Step 4: Simplify right side
    137.36x = 27,620.52
  5. Step 5: Solve for x
    x = 27,620.52/137.36
  6. Step 6: Final answer
    x = 201.08

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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.