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Finding the Fourth Proportional to 201.60, 277.40 and 196.22

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Solution

The fourth proportional to 201.60, 277.40 and 196.22 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 277.40 = 196.22 : x
  2. Step 2: Convert to fraction form
    201.60/277.40 = 196.22/x
  3. Step 3: Cross multiply
    201.60x = 277.40 × 196.22
  4. Step 4: Simplify right side
    201.60x = 54,429.06
  5. Step 5: Solve for x
    x = 54,429.06/201.60
  6. Step 6: Final answer
    x = 269.99

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Why These Related Problems?

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