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Finding the Fourth Proportional to 197.74, 273.54 and 164.89

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Solution

The fourth proportional to 197.74, 273.54 and 164.89 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.74 : 273.54 = 164.89 : x
  2. Step 2: Convert to fraction form
    197.74/273.54 = 164.89/x
  3. Step 3: Cross multiply
    197.74x = 273.54 × 164.89
  4. Step 4: Simplify right side
    197.74x = 45,104.01
  5. Step 5: Solve for x
    x = 45,104.01/197.74
  6. Step 6: Final answer
    x = 228.10

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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.