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Finding the Fourth Proportional to 208.64, 287.92 and 121.28

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Solution

The fourth proportional to 208.64, 287.92 and 121.28 is: 167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 287.92 = 121.28 : x
  2. Step 2: Convert to fraction form
    208.64/287.92 = 121.28/x
  3. Step 3: Cross multiply
    208.64x = 287.92 × 121.28
  4. Step 4: Simplify right side
    208.64x = 34,918.94
  5. Step 5: Solve for x
    x = 34,918.94/208.64
  6. Step 6: Final answer
    x = 167.36

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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.