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Finding the Fourth Proportional to 208.22, 286.80 and 149.12

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Solution

The fourth proportional to 208.22, 286.80 and 149.12 is: 205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 286.80 = 149.12 : x
  2. Step 2: Convert to fraction form
    208.22/286.80 = 149.12/x
  3. Step 3: Cross multiply
    208.22x = 286.80 × 149.12
  4. Step 4: Simplify right side
    208.22x = 42,767.62
  5. Step 5: Solve for x
    x = 42,767.62/208.22
  6. Step 6: Final answer
    x = 205.40

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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.