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Finding the Fourth Proportional to 208.53, 287.75 and 115.27

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Solution

The fourth proportional to 208.53, 287.75 and 115.27 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 287.75 = 115.27 : x
  2. Step 2: Convert to fraction form
    208.53/287.75 = 115.27/x
  3. Step 3: Cross multiply
    208.53x = 287.75 × 115.27
  4. Step 4: Simplify right side
    208.53x = 33,168.94
  5. Step 5: Solve for x
    x = 33,168.94/208.53
  6. Step 6: Final answer
    x = 159.06

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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.