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Finding the Fourth Proportional to 251.44, 376.96 and 197.20

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Solution

The fourth proportional to 251.44, 376.96 and 197.20 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.44 : 376.96 = 197.20 : x
  2. Step 2: Convert to fraction form
    251.44/376.96 = 197.20/x
  3. Step 3: Cross multiply
    251.44x = 376.96 × 197.20
  4. Step 4: Simplify right side
    251.44x = 74,336.51
  5. Step 5: Solve for x
    x = 74,336.51/251.44
  6. Step 6: Final answer
    x = 295.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.