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Finding the Fourth Proportional to 329.47, 494.27 and 110.12

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Solution

The fourth proportional to 329.47, 494.27 and 110.12 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.47 : 494.27 = 110.12 : x
  2. Step 2: Convert to fraction form
    329.47/494.27 = 110.12/x
  3. Step 3: Cross multiply
    329.47x = 494.27 × 110.12
  4. Step 4: Simplify right side
    329.47x = 54,429.70
  5. Step 5: Solve for x
    x = 54,429.70/329.47
  6. Step 6: Final answer
    x = 165.21

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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.