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Finding the Fourth Proportional to 201.64, 276.56 and 186.52

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Solution

The fourth proportional to 201.64, 276.56 and 186.52 is: 255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.64 : 276.56 = 186.52 : x
  2. Step 2: Convert to fraction form
    201.64/276.56 = 186.52/x
  3. Step 3: Cross multiply
    201.64x = 276.56 × 186.52
  4. Step 4: Simplify right side
    201.64x = 51,583.97
  5. Step 5: Solve for x
    x = 51,583.97/201.64
  6. Step 6: Final answer
    x = 255.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.