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Finding the Fourth Proportional to 208.05, 286.43 and 194.07

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Solution

The fourth proportional to 208.05, 286.43 and 194.07 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.05 : 286.43 = 194.07 : x
  2. Step 2: Convert to fraction form
    208.05/286.43 = 194.07/x
  3. Step 3: Cross multiply
    208.05x = 286.43 × 194.07
  4. Step 4: Simplify right side
    208.05x = 55,587.47
  5. Step 5: Solve for x
    x = 55,587.47/208.05
  6. Step 6: Final answer
    x = 267.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.