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Finding the Fourth Proportional to 208.08, 312.36 and 198.12

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Solution

The fourth proportional to 208.08, 312.36 and 198.12 is: 297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 312.36 = 198.12 : x
  2. Step 2: Convert to fraction form
    208.08/312.36 = 198.12/x
  3. Step 3: Cross multiply
    208.08x = 312.36 × 198.12
  4. Step 4: Simplify right side
    208.08x = 61,884.76
  5. Step 5: Solve for x
    x = 61,884.76/208.08
  6. Step 6: Final answer
    x = 297.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.