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Finding the Fourth Proportional to 198.42, 273.90 and 145.26

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Solution

The fourth proportional to 198.42, 273.90 and 145.26 is: 200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 273.90 = 145.26 : x
  2. Step 2: Convert to fraction form
    198.42/273.90 = 145.26/x
  3. Step 3: Cross multiply
    198.42x = 273.90 × 145.26
  4. Step 4: Simplify right side
    198.42x = 39,786.71
  5. Step 5: Solve for x
    x = 39,786.71/198.42
  6. Step 6: Final answer
    x = 200.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.