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Finding the Fourth Proportional to 329.81, 493.92 and 197.66

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Solution

The fourth proportional to 329.81, 493.92 and 197.66 is: 296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.81 : 493.92 = 197.66 : x
  2. Step 2: Convert to fraction form
    329.81/493.92 = 197.66/x
  3. Step 3: Cross multiply
    329.81x = 493.92 × 197.66
  4. Step 4: Simplify right side
    329.81x = 97,629.46
  5. Step 5: Solve for x
    x = 97,629.46/329.81
  6. Step 6: Final answer
    x = 296.02

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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.