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Finding the Fourth Proportional to 355.53, 490.63 and 198.16

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Solution

The fourth proportional to 355.53, 490.63 and 198.16 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.53 : 490.63 = 198.16 : x
  2. Step 2: Convert to fraction form
    355.53/490.63 = 198.16/x
  3. Step 3: Cross multiply
    355.53x = 490.63 × 198.16
  4. Step 4: Simplify right side
    355.53x = 97,219.80
  5. Step 5: Solve for x
    x = 97,219.80/355.53
  6. Step 6: Final answer
    x = 273.45

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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.