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Finding the Fourth Proportional to 310.35, 428.31 and 179.36

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Solution

The fourth proportional to 310.35, 428.31 and 179.36 is: 247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.35 : 428.31 = 179.36 : x
  2. Step 2: Convert to fraction form
    310.35/428.31 = 179.36/x
  3. Step 3: Cross multiply
    310.35x = 428.31 × 179.36
  4. Step 4: Simplify right side
    310.35x = 76,819.54
  5. Step 5: Solve for x
    x = 76,819.54/310.35
  6. Step 6: Final answer
    x = 247.53

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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.