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Finding the Fourth Proportional to 208.64, 287.27 and 179.13

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Solution

The fourth proportional to 208.64, 287.27 and 179.13 is: 246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 287.27 = 179.13 : x
  2. Step 2: Convert to fraction form
    208.64/287.27 = 179.13/x
  3. Step 3: Cross multiply
    208.64x = 287.27 × 179.13
  4. Step 4: Simplify right side
    208.64x = 51,460.54
  5. Step 5: Solve for x
    x = 51,460.54/208.64
  6. Step 6: Final answer
    x = 246.65

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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.