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Finding the Fourth Proportional to 208.48, 287.73 and 115.25

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Solution

The fourth proportional to 208.48, 287.73 and 115.25 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.48 : 287.73 = 115.25 : x
  2. Step 2: Convert to fraction form
    208.48/287.73 = 115.25/x
  3. Step 3: Cross multiply
    208.48x = 287.73 × 115.25
  4. Step 4: Simplify right side
    208.48x = 33,158.87
  5. Step 5: Solve for x
    x = 33,158.87/208.48
  6. Step 6: Final answer
    x = 159.05

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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.