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Finding the Fourth Proportional to 353.39, 487.64 and 196.00

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Solution

The fourth proportional to 353.39, 487.64 and 196.00 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.39 : 487.64 = 196.00 : x
  2. Step 2: Convert to fraction form
    353.39/487.64 = 196.00/x
  3. Step 3: Cross multiply
    353.39x = 487.64 × 196.00
  4. Step 4: Simplify right side
    353.39x = 95,576.71
  5. Step 5: Solve for x
    x = 95,576.71/353.39
  6. Step 6: Final answer
    x = 270.46

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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.