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Finding the Fourth Proportional to 208.82, 288.16 and 125.99

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Solution

The fourth proportional to 208.82, 288.16 and 125.99 is: 173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 288.16 = 125.99 : x
  2. Step 2: Convert to fraction form
    208.82/288.16 = 125.99/x
  3. Step 3: Cross multiply
    208.82x = 288.16 × 125.99
  4. Step 4: Simplify right side
    208.82x = 36,305.28
  5. Step 5: Solve for x
    x = 36,305.28/208.82
  6. Step 6: Final answer
    x = 173.86

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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.