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Finding the Fourth Proportional to 329.26, 493.71 and 137.02

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Solution

The fourth proportional to 329.26, 493.71 and 137.02 is: 205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.26 : 493.71 = 137.02 : x
  2. Step 2: Convert to fraction form
    329.26/493.71 = 137.02/x
  3. Step 3: Cross multiply
    329.26x = 493.71 × 137.02
  4. Step 4: Simplify right side
    329.26x = 67,648.14
  5. Step 5: Solve for x
    x = 67,648.14/329.26
  6. Step 6: Final answer
    x = 205.46

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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.