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Finding the Fourth Proportional to 197.68, 272.44 and 145.84

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Solution

The fourth proportional to 197.68, 272.44 and 145.84 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.68 : 272.44 = 145.84 : x
  2. Step 2: Convert to fraction form
    197.68/272.44 = 145.84/x
  3. Step 3: Cross multiply
    197.68x = 272.44 × 145.84
  4. Step 4: Simplify right side
    197.68x = 39,732.65
  5. Step 5: Solve for x
    x = 39,732.65/197.68
  6. Step 6: Final answer
    x = 200.99

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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.