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Finding the Fourth Proportional to 208.64, 287.96 and 159.44

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Solution

The fourth proportional to 208.64, 287.96 and 159.44 is: 220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 287.96 = 159.44 : x
  2. Step 2: Convert to fraction form
    208.64/287.96 = 159.44/x
  3. Step 3: Cross multiply
    208.64x = 287.96 × 159.44
  4. Step 4: Simplify right side
    208.64x = 45,910.11
  5. Step 5: Solve for x
    x = 45,910.11/208.64
  6. Step 6: Final answer
    x = 220.04

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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.