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Finding the Fourth Proportional to 308.83, 426.19 and 177.83

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Solution

The fourth proportional to 308.83, 426.19 and 177.83 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.83 : 426.19 = 177.83 : x
  2. Step 2: Convert to fraction form
    308.83/426.19 = 177.83/x
  3. Step 3: Cross multiply
    308.83x = 426.19 × 177.83
  4. Step 4: Simplify right side
    308.83x = 75,789.37
  5. Step 5: Solve for x
    x = 75,789.37/308.83
  6. Step 6: Final answer
    x = 245.41

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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.