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Finding the Fourth Proportional to 207.18, 308.57 and 198.96

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Solution

The fourth proportional to 207.18, 308.57 and 198.96 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.18 : 308.57 = 198.96 : x
  2. Step 2: Convert to fraction form
    207.18/308.57 = 198.96/x
  3. Step 3: Cross multiply
    207.18x = 308.57 × 198.96
  4. Step 4: Simplify right side
    207.18x = 61,392.09
  5. Step 5: Solve for x
    x = 61,392.09/207.18
  6. Step 6: Final answer
    x = 296.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.