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Finding the Fourth Proportional to 208.41, 287.60 and 116.41

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Solution

The fourth proportional to 208.41, 287.60 and 116.41 is: 160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.41 : 287.60 = 116.41 : x
  2. Step 2: Convert to fraction form
    208.41/287.60 = 116.41/x
  3. Step 3: Cross multiply
    208.41x = 287.60 × 116.41
  4. Step 4: Simplify right side
    208.41x = 33,478.51
  5. Step 5: Solve for x
    x = 33,478.51/208.41
  6. Step 6: Final answer
    x = 160.64

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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.