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Finding the Fourth Proportional to 201.99, 304.40 and 182.75

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Solution

The fourth proportional to 201.99, 304.40 and 182.75 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 304.40 = 182.75 : x
  2. Step 2: Convert to fraction form
    201.99/304.40 = 182.75/x
  3. Step 3: Cross multiply
    201.99x = 304.40 × 182.75
  4. Step 4: Simplify right side
    201.99x = 55,626.66
  5. Step 5: Solve for x
    x = 55,626.66/201.99
  6. Step 6: Final answer
    x = 275.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.