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Finding the Fourth Proportional to 201.36, 277.80 and 122.70

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Solution

The fourth proportional to 201.36, 277.80 and 122.70 is: 169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 277.80 = 122.70 : x
  2. Step 2: Convert to fraction form
    201.36/277.80 = 122.70/x
  3. Step 3: Cross multiply
    201.36x = 277.80 × 122.70
  4. Step 4: Simplify right side
    201.36x = 34,086.06
  5. Step 5: Solve for x
    x = 34,086.06/201.36
  6. Step 6: Final answer
    x = 169.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.