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Finding the Fourth Proportional to 208.85, 288.14 and 125.96

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Solution

The fourth proportional to 208.85, 288.14 and 125.96 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 288.14 = 125.96 : x
  2. Step 2: Convert to fraction form
    208.85/288.14 = 125.96/x
  3. Step 3: Cross multiply
    208.85x = 288.14 × 125.96
  4. Step 4: Simplify right side
    208.85x = 36,292.04
  5. Step 5: Solve for x
    x = 36,292.04/208.85
  6. Step 6: Final answer
    x = 173.78

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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.