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Finding the Fourth Proportional to 208.45, 287.79 and 161.10

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Solution

The fourth proportional to 208.45, 287.79 and 161.10 is: 222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.45 : 287.79 = 161.10 : x
  2. Step 2: Convert to fraction form
    208.45/287.79 = 161.10/x
  3. Step 3: Cross multiply
    208.45x = 287.79 × 161.10
  4. Step 4: Simplify right side
    208.45x = 46,362.97
  5. Step 5: Solve for x
    x = 46,362.97/208.45
  6. Step 6: Final answer
    x = 222.42

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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.