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Finding the Fourth Proportional to 351.20, 484.64 and 203.84

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Solution

The fourth proportional to 351.20, 484.64 and 203.84 is: 281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.20 : 484.64 = 203.84 : x
  2. Step 2: Convert to fraction form
    351.20/484.64 = 203.84/x
  3. Step 3: Cross multiply
    351.20x = 484.64 × 203.84
  4. Step 4: Simplify right side
    351.20x = 98,785.58
  5. Step 5: Solve for x
    x = 98,785.58/351.20
  6. Step 6: Final answer
    x = 281.28

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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.