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Finding the Fourth Proportional to 252.50, 380.15 and 197.95

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Solution

The fourth proportional to 252.50, 380.15 and 197.95 is: 298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.50 : 380.15 = 197.95 : x
  2. Step 2: Convert to fraction form
    252.50/380.15 = 197.95/x
  3. Step 3: Cross multiply
    252.50x = 380.15 × 197.95
  4. Step 4: Simplify right side
    252.50x = 75,250.69
  5. Step 5: Solve for x
    x = 75,250.69/252.50
  6. Step 6: Final answer
    x = 298.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.