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Finding the Fourth Proportional to 203.52, 279.02 and 198.08

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Solution

The fourth proportional to 203.52, 279.02 and 198.08 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 279.02 = 198.08 : x
  2. Step 2: Convert to fraction form
    203.52/279.02 = 198.08/x
  3. Step 3: Cross multiply
    203.52x = 279.02 × 198.08
  4. Step 4: Simplify right side
    203.52x = 55,268.28
  5. Step 5: Solve for x
    x = 55,268.28/203.52
  6. Step 6: Final answer
    x = 271.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.