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Finding the Fourth Proportional to 322.95, 445.74 and 197.03

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Solution

The fourth proportional to 322.95, 445.74 and 197.03 is: 271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.95 : 445.74 = 197.03 : x
  2. Step 2: Convert to fraction form
    322.95/445.74 = 197.03/x
  3. Step 3: Cross multiply
    322.95x = 445.74 × 197.03
  4. Step 4: Simplify right side
    322.95x = 87,821.92
  5. Step 5: Solve for x
    x = 87,821.92/322.95
  6. Step 6: Final answer
    x = 271.94

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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.