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Finding the Fourth Proportional to 208.11, 284.93 and 206.13

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Solution

The fourth proportional to 208.11, 284.93 and 206.13 is: 282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.11 : 284.93 = 206.13 : x
  2. Step 2: Convert to fraction form
    208.11/284.93 = 206.13/x
  3. Step 3: Cross multiply
    208.11x = 284.93 × 206.13
  4. Step 4: Simplify right side
    208.11x = 58,732.62
  5. Step 5: Solve for x
    x = 58,732.62/208.11
  6. Step 6: Final answer
    x = 282.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.