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Finding the Fourth Proportional to 329.14, 493.78 and 164.70

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Solution

The fourth proportional to 329.14, 493.78 and 164.70 is: 247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 493.78 = 164.70 : x
  2. Step 2: Convert to fraction form
    329.14/493.78 = 164.70/x
  3. Step 3: Cross multiply
    329.14x = 493.78 × 164.70
  4. Step 4: Simplify right side
    329.14x = 81,325.57
  5. Step 5: Solve for x
    x = 81,325.57/329.14
  6. Step 6: Final answer
    x = 247.09

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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.