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Finding the Fourth Proportional to 329, 493.64 and 136.64

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Solution

The fourth proportional to 329, 493.64 and 136.64 is: 205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 493.64 = 136.64 : x
  2. Step 2: Convert to fraction form
    329/493.64 = 136.64/x
  3. Step 3: Cross multiply
    329x = 493.64 × 136.64
  4. Step 4: Simplify right side
    329x = 67,450.97
  5. Step 5: Solve for x
    x = 67,450.97/329
  6. Step 6: Final answer
    x = 205.02

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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.