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Finding the Fourth Proportional to 329.70, 494.64 and 110.34

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Solution

The fourth proportional to 329.70, 494.64 and 110.34 is: 165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.70 : 494.64 = 110.34 : x
  2. Step 2: Convert to fraction form
    329.70/494.64 = 110.34/x
  3. Step 3: Cross multiply
    329.70x = 494.64 × 110.34
  4. Step 4: Simplify right side
    329.70x = 54,578.58
  5. Step 5: Solve for x
    x = 54,578.58/329.70
  6. Step 6: Final answer
    x = 165.54

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