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Finding the Fourth Proportional to 331.82, 497.99 and 194.98

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Solution

The fourth proportional to 331.82, 497.99 and 194.98 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.82 : 497.99 = 194.98 : x
  2. Step 2: Convert to fraction form
    331.82/497.99 = 194.98/x
  3. Step 3: Cross multiply
    331.82x = 497.99 × 194.98
  4. Step 4: Simplify right side
    331.82x = 97,098.20
  5. Step 5: Solve for x
    x = 97,098.20/331.82
  6. Step 6: Final answer
    x = 292.62

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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.