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Finding the Fourth Proportional to 208.81, 288.16 and 125.96

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Solution

The fourth proportional to 208.81, 288.16 and 125.96 is: 173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.81 : 288.16 = 125.96 : x
  2. Step 2: Convert to fraction form
    208.81/288.16 = 125.96/x
  3. Step 3: Cross multiply
    208.81x = 288.16 × 125.96
  4. Step 4: Simplify right side
    208.81x = 36,294.88
  5. Step 5: Solve for x
    x = 36,294.88/208.81
  6. Step 6: Final answer
    x = 173.82

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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.