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Finding the Fourth Proportional to 206.64, 286.83 and 198.72

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Solution

The fourth proportional to 206.64, 286.83 and 198.72 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.64 : 286.83 = 198.72 : x
  2. Step 2: Convert to fraction form
    206.64/286.83 = 198.72/x
  3. Step 3: Cross multiply
    206.64x = 286.83 × 198.72
  4. Step 4: Simplify right side
    206.64x = 56,998.86
  5. Step 5: Solve for x
    x = 56,998.86/206.64
  6. Step 6: Final answer
    x = 275.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.