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Finding the Fourth Proportional to 329.98, 494.67 and 113.41

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Solution

The fourth proportional to 329.98, 494.67 and 113.41 is: 170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.98 : 494.67 = 113.41 : x
  2. Step 2: Convert to fraction form
    329.98/494.67 = 113.41/x
  3. Step 3: Cross multiply
    329.98x = 494.67 × 113.41
  4. Step 4: Simplify right side
    329.98x = 56,100.52
  5. Step 5: Solve for x
    x = 56,100.52/329.98
  6. Step 6: Final answer
    x = 170.01

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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.