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Finding the Fourth Proportional to 208.56, 287.68 and 159.54

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Solution

The fourth proportional to 208.56, 287.68 and 159.54 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 287.68 = 159.54 : x
  2. Step 2: Convert to fraction form
    208.56/287.68 = 159.54/x
  3. Step 3: Cross multiply
    208.56x = 287.68 × 159.54
  4. Step 4: Simplify right side
    208.56x = 45,896.47
  5. Step 5: Solve for x
    x = 45,896.47/208.56
  6. Step 6: Final answer
    x = 220.06

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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.