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Finding the Fourth Proportional to 198.54, 273.76 and 146.01

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Solution

The fourth proportional to 198.54, 273.76 and 146.01 is: 201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 273.76 = 146.01 : x
  2. Step 2: Convert to fraction form
    198.54/273.76 = 146.01/x
  3. Step 3: Cross multiply
    198.54x = 273.76 × 146.01
  4. Step 4: Simplify right side
    198.54x = 39,971.70
  5. Step 5: Solve for x
    x = 39,971.70/198.54
  6. Step 6: Final answer
    x = 201.33

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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.