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Finding the Fourth Proportional to 197.58, 296.41 and 82.01

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Solution

The fourth proportional to 197.58, 296.41 and 82.01 is: 123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.58 : 296.41 = 82.01 : x
  2. Step 2: Convert to fraction form
    197.58/296.41 = 82.01/x
  3. Step 3: Cross multiply
    197.58x = 296.41 × 82.01
  4. Step 4: Simplify right side
    197.58x = 24,309.12
  5. Step 5: Solve for x
    x = 24,309.12/197.58
  6. Step 6: Final answer
    x = 123.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.