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Finding the Fourth Proportional to 208.53, 286.97 and 180.77

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Solution

The fourth proportional to 208.53, 286.97 and 180.77 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 286.97 = 180.77 : x
  2. Step 2: Convert to fraction form
    208.53/286.97 = 180.77/x
  3. Step 3: Cross multiply
    208.53x = 286.97 × 180.77
  4. Step 4: Simplify right side
    208.53x = 51,873.23
  5. Step 5: Solve for x
    x = 51,873.23/208.53
  6. Step 6: Final answer
    x = 248.76

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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.