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Finding the Fourth Proportional to 208.24, 287.35 and 114.97

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Solution

The fourth proportional to 208.24, 287.35 and 114.97 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 287.35 = 114.97 : x
  2. Step 2: Convert to fraction form
    208.24/287.35 = 114.97/x
  3. Step 3: Cross multiply
    208.24x = 287.35 × 114.97
  4. Step 4: Simplify right side
    208.24x = 33,034.62
  5. Step 5: Solve for x
    x = 33,034.62/208.24
  6. Step 6: Final answer
    x = 158.64

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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.