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Finding the Fourth Proportional to 331.69, 497.61 and 194.85

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Solution

The fourth proportional to 331.69, 497.61 and 194.85 is: 292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.69 : 497.61 = 194.85 : x
  2. Step 2: Convert to fraction form
    331.69/497.61 = 194.85/x
  3. Step 3: Cross multiply
    331.69x = 497.61 × 194.85
  4. Step 4: Simplify right side
    331.69x = 96,959.31
  5. Step 5: Solve for x
    x = 96,959.31/331.69
  6. Step 6: Final answer
    x = 292.32

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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.