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Finding the Fourth Proportional to 208.57, 287.83 and 115.31

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Solution

The fourth proportional to 208.57, 287.83 and 115.31 is: 159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.57 : 287.83 = 115.31 : x
  2. Step 2: Convert to fraction form
    208.57/287.83 = 115.31/x
  3. Step 3: Cross multiply
    208.57x = 287.83 × 115.31
  4. Step 4: Simplify right side
    208.57x = 33,189.68
  5. Step 5: Solve for x
    x = 33,189.68/208.57
  6. Step 6: Final answer
    x = 159.13

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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.