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Finding the Fourth Proportional to 270.89, 374.15 and 197.54

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Solution

The fourth proportional to 270.89, 374.15 and 197.54 is: 272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.89 : 374.15 = 197.54 : x
  2. Step 2: Convert to fraction form
    270.89/374.15 = 197.54/x
  3. Step 3: Cross multiply
    270.89x = 374.15 × 197.54
  4. Step 4: Simplify right side
    270.89x = 73,909.62
  5. Step 5: Solve for x
    x = 73,909.62/270.89
  6. Step 6: Final answer
    x = 272.84

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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.