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Finding the Fourth Proportional to 208.45, 287.62 and 177.31

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Solution

The fourth proportional to 208.45, 287.62 and 177.31 is: 244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.45 : 287.62 = 177.31 : x
  2. Step 2: Convert to fraction form
    208.45/287.62 = 177.31/x
  3. Step 3: Cross multiply
    208.45x = 287.62 × 177.31
  4. Step 4: Simplify right side
    208.45x = 50,997.02
  5. Step 5: Solve for x
    x = 50,997.02/208.45
  6. Step 6: Final answer
    x = 244.65

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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.