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Finding the Fourth Proportional to 351.25, 484.74 and 196

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Solution

The fourth proportional to 351.25, 484.74 and 196 is: 270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.25 : 484.74 = 196 : x
  2. Step 2: Convert to fraction form
    351.25/484.74 = 196/x
  3. Step 3: Cross multiply
    351.25x = 484.74 × 196
  4. Step 4: Simplify right side
    351.25x = 95,009.04
  5. Step 5: Solve for x
    x = 95,009.04/351.25
  6. Step 6: Final answer
    x = 270.49

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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.