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Finding the Fourth Proportional to 208.97, 288.22 and 162.29

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Solution

The fourth proportional to 208.97, 288.22 and 162.29 is: 223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.97 : 288.22 = 162.29 : x
  2. Step 2: Convert to fraction form
    208.97/288.22 = 162.29/x
  3. Step 3: Cross multiply
    208.97x = 288.22 × 162.29
  4. Step 4: Simplify right side
    208.97x = 46,775.22
  5. Step 5: Solve for x
    x = 46,775.22/208.97
  6. Step 6: Final answer
    x = 223.84

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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.