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Finding the Fourth Proportional to 197.28, 294.12 and 172.80

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Solution

The fourth proportional to 197.28, 294.12 and 172.80 is: 257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.28 : 294.12 = 172.80 : x
  2. Step 2: Convert to fraction form
    197.28/294.12 = 172.80/x
  3. Step 3: Cross multiply
    197.28x = 294.12 × 172.80
  4. Step 4: Simplify right side
    197.28x = 50,823.94
  5. Step 5: Solve for x
    x = 50,823.94/197.28
  6. Step 6: Final answer
    x = 257.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.