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Finding the Fourth Proportional to 197.94, 273.06 and 145.47

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Solution

The fourth proportional to 197.94, 273.06 and 145.47 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 273.06 = 145.47 : x
  2. Step 2: Convert to fraction form
    197.94/273.06 = 145.47/x
  3. Step 3: Cross multiply
    197.94x = 273.06 × 145.47
  4. Step 4: Simplify right side
    197.94x = 39,722.04
  5. Step 5: Solve for x
    x = 39,722.04/197.94
  6. Step 6: Final answer
    x = 200.68

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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.