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Finding the Fourth Proportional to 208.04, 287.42 and 198.05

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Solution

The fourth proportional to 208.04, 287.42 and 198.05 is: 273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.04 : 287.42 = 198.05 : x
  2. Step 2: Convert to fraction form
    208.04/287.42 = 198.05/x
  3. Step 3: Cross multiply
    208.04x = 287.42 × 198.05
  4. Step 4: Simplify right side
    208.04x = 56,921.10
  5. Step 5: Solve for x
    x = 56,921.10/208.04
  6. Step 6: Final answer
    x = 273.61

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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.