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Finding the Fourth Proportional to 208.12, 286.50 and 178.84

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Solution

The fourth proportional to 208.12, 286.50 and 178.84 is: 246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.12 : 286.50 = 178.84 : x
  2. Step 2: Convert to fraction form
    208.12/286.50 = 178.84/x
  3. Step 3: Cross multiply
    208.12x = 286.50 × 178.84
  4. Step 4: Simplify right side
    208.12x = 51,237.66
  5. Step 5: Solve for x
    x = 51,237.66/208.12
  6. Step 6: Final answer
    x = 246.19

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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.