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Finding the Fourth Proportional to 208.43, 287.94 and 177.66

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Solution

The fourth proportional to 208.43, 287.94 and 177.66 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.43 : 287.94 = 177.66 : x
  2. Step 2: Convert to fraction form
    208.43/287.94 = 177.66/x
  3. Step 3: Cross multiply
    208.43x = 287.94 × 177.66
  4. Step 4: Simplify right side
    208.43x = 51,153.09
  5. Step 5: Solve for x
    x = 51,153.09/208.43
  6. Step 6: Final answer
    x = 245.43

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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.