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Finding the Fourth Proportional to 351.90, 485.64 and 194.55

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Solution

The fourth proportional to 351.90, 485.64 and 194.55 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.90 : 485.64 = 194.55 : x
  2. Step 2: Convert to fraction form
    351.90/485.64 = 194.55/x
  3. Step 3: Cross multiply
    351.90x = 485.64 × 194.55
  4. Step 4: Simplify right side
    351.90x = 94,481.26
  5. Step 5: Solve for x
    x = 94,481.26/351.90
  6. Step 6: Final answer
    x = 268.49

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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.