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Finding the Fourth Proportional to 331.50, 497.67 and 194.64

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Solution

The fourth proportional to 331.50, 497.67 and 194.64 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.50 : 497.67 = 194.64 : x
  2. Step 2: Convert to fraction form
    331.50/497.67 = 194.64/x
  3. Step 3: Cross multiply
    331.50x = 497.67 × 194.64
  4. Step 4: Simplify right side
    331.50x = 96,866.49
  5. Step 5: Solve for x
    x = 96,866.49/331.50
  6. Step 6: Final answer
    x = 292.21

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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.