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Finding the Fourth Proportional to 208.82, 288.22 and 125.94

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Solution

The fourth proportional to 208.82, 288.22 and 125.94 is: 173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 288.22 = 125.94 : x
  2. Step 2: Convert to fraction form
    208.82/288.22 = 125.94/x
  3. Step 3: Cross multiply
    208.82x = 288.22 × 125.94
  4. Step 4: Simplify right side
    208.82x = 36,298.43
  5. Step 5: Solve for x
    x = 36,298.43/208.82
  6. Step 6: Final answer
    x = 173.83

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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.