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Finding the Fourth Proportional to 295.32, 406.92 and 196.89

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Solution

The fourth proportional to 295.32, 406.92 and 196.89 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.32 : 406.92 = 196.89 : x
  2. Step 2: Convert to fraction form
    295.32/406.92 = 196.89/x
  3. Step 3: Cross multiply
    295.32x = 406.92 × 196.89
  4. Step 4: Simplify right side
    295.32x = 80,118.48
  5. Step 5: Solve for x
    x = 80,118.48/295.32
  6. Step 6: Final answer
    x = 271.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.