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Finding the Fourth Proportional to 208.45, 287.61 and 177.31

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Solution

The fourth proportional to 208.45, 287.61 and 177.31 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.45 : 287.61 = 177.31 : x
  2. Step 2: Convert to fraction form
    208.45/287.61 = 177.31/x
  3. Step 3: Cross multiply
    208.45x = 287.61 × 177.31
  4. Step 4: Simplify right side
    208.45x = 50,996.13
  5. Step 5: Solve for x
    x = 50,996.13/208.45
  6. Step 6: Final answer
    x = 244.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.