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Finding the Fourth Proportional to 329.14, 493.39 and 112.56

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Solution

The fourth proportional to 329.14, 493.39 and 112.56 is: 168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 493.39 = 112.56 : x
  2. Step 2: Convert to fraction form
    329.14/493.39 = 112.56/x
  3. Step 3: Cross multiply
    329.14x = 493.39 × 112.56
  4. Step 4: Simplify right side
    329.14x = 55,532.95
  5. Step 5: Solve for x
    x = 55,532.95/329.14
  6. Step 6: Final answer
    x = 168.72

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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.