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Finding the Fourth Proportional to 208.06, 286.25 and 180.27

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Solution

The fourth proportional to 208.06, 286.25 and 180.27 is: 248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 286.25 = 180.27 : x
  2. Step 2: Convert to fraction form
    208.06/286.25 = 180.27/x
  3. Step 3: Cross multiply
    208.06x = 286.25 × 180.27
  4. Step 4: Simplify right side
    208.06x = 51,602.74
  5. Step 5: Solve for x
    x = 51,602.74/208.06
  6. Step 6: Final answer
    x = 248.02

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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.