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Finding the Fourth Proportional to 251.59, 346.72 and 196.24

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Solution

The fourth proportional to 251.59, 346.72 and 196.24 is: 270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.59 : 346.72 = 196.24 : x
  2. Step 2: Convert to fraction form
    251.59/346.72 = 196.24/x
  3. Step 3: Cross multiply
    251.59x = 346.72 × 196.24
  4. Step 4: Simplify right side
    251.59x = 68,037.62
  5. Step 5: Solve for x
    x = 68,037.62/251.59
  6. Step 6: Final answer
    x = 270.44

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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.