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Finding the Fourth Proportional to 382.14, 572.95 and 197.15

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Solution

The fourth proportional to 382.14, 572.95 and 197.15 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 572.95 = 197.15 : x
  2. Step 2: Convert to fraction form
    382.14/572.95 = 197.15/x
  3. Step 3: Cross multiply
    382.14x = 572.95 × 197.15
  4. Step 4: Simplify right side
    382.14x = 112,958.03
  5. Step 5: Solve for x
    x = 112,958.03/382.14
  6. Step 6: Final answer
    x = 295.59

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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.