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Finding the Fourth Proportional to 208.06, 287.11 and 119.56

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Solution

The fourth proportional to 208.06, 287.11 and 119.56 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 287.11 = 119.56 : x
  2. Step 2: Convert to fraction form
    208.06/287.11 = 119.56/x
  3. Step 3: Cross multiply
    208.06x = 287.11 × 119.56
  4. Step 4: Simplify right side
    208.06x = 34,326.87
  5. Step 5: Solve for x
    x = 34,326.87/208.06
  6. Step 6: Final answer
    x = 164.99

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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.