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Finding the Fourth Proportional to 351.15, 484.59 and 193.78

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Solution

The fourth proportional to 351.15, 484.59 and 193.78 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.15 : 484.59 = 193.78 : x
  2. Step 2: Convert to fraction form
    351.15/484.59 = 193.78/x
  3. Step 3: Cross multiply
    351.15x = 484.59 × 193.78
  4. Step 4: Simplify right side
    351.15x = 93,902.88
  5. Step 5: Solve for x
    x = 93,902.88/351.15
  6. Step 6: Final answer
    x = 267.42

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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.