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Finding the Fourth Proportional to 208.52, 287.72 and 115.25

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Solution

The fourth proportional to 208.52, 287.72 and 115.25 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 287.72 = 115.25 : x
  2. Step 2: Convert to fraction form
    208.52/287.72 = 115.25/x
  3. Step 3: Cross multiply
    208.52x = 287.72 × 115.25
  4. Step 4: Simplify right side
    208.52x = 33,157.72
  5. Step 5: Solve for x
    x = 33,157.72/208.52
  6. Step 6: Final answer
    x = 159.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.