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Finding the Fourth Proportional to 197.75, 272.91 and 145.46

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Solution

The fourth proportional to 197.75, 272.91 and 145.46 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.75 : 272.91 = 145.46 : x
  2. Step 2: Convert to fraction form
    197.75/272.91 = 145.46/x
  3. Step 3: Cross multiply
    197.75x = 272.91 × 145.46
  4. Step 4: Simplify right side
    197.75x = 39,697.49
  5. Step 5: Solve for x
    x = 39,697.49/197.75
  6. Step 6: Final answer
    x = 200.75

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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.