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Finding the Fourth Proportional to 355.40, 490.47 and 198.07

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Solution

The fourth proportional to 355.40, 490.47 and 198.07 is: 273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.40 : 490.47 = 198.07 : x
  2. Step 2: Convert to fraction form
    355.40/490.47 = 198.07/x
  3. Step 3: Cross multiply
    355.40x = 490.47 × 198.07
  4. Step 4: Simplify right side
    355.40x = 97,147.39
  5. Step 5: Solve for x
    x = 97,147.39/355.40
  6. Step 6: Final answer
    x = 273.35

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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.