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Finding the Fourth Proportional to 351.46, 485 and 194.08

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Solution

The fourth proportional to 351.46, 485 and 194.08 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.46 : 485 = 194.08 : x
  2. Step 2: Convert to fraction form
    351.46/485 = 194.08/x
  3. Step 3: Cross multiply
    351.46x = 485 × 194.08
  4. Step 4: Simplify right side
    351.46x = 94,128.80
  5. Step 5: Solve for x
    x = 94,128.80/351.46
  6. Step 6: Final answer
    x = 267.82

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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.