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Finding the Fourth Proportional to 329.50, 494.25 and 113.06

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Solution

The fourth proportional to 329.50, 494.25 and 113.06 is: 169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.50 : 494.25 = 113.06 : x
  2. Step 2: Convert to fraction form
    329.50/494.25 = 113.06/x
  3. Step 3: Cross multiply
    329.50x = 494.25 × 113.06
  4. Step 4: Simplify right side
    329.50x = 55,881.35
  5. Step 5: Solve for x
    x = 55,881.35/329.50
  6. Step 6: Final answer
    x = 169.59

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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.