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Finding the Fourth Proportional to 208.28, 287.48 and 166.82

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Solution

The fourth proportional to 208.28, 287.48 and 166.82 is: 230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.28 : 287.48 = 166.82 : x
  2. Step 2: Convert to fraction form
    208.28/287.48 = 166.82/x
  3. Step 3: Cross multiply
    208.28x = 287.48 × 166.82
  4. Step 4: Simplify right side
    208.28x = 47,957.41
  5. Step 5: Solve for x
    x = 47,957.41/208.28
  6. Step 6: Final answer
    x = 230.25

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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.