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Finding the Fourth Proportional to 208.67, 288.02 and 125.85

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Solution

The fourth proportional to 208.67, 288.02 and 125.85 is: 173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.67 : 288.02 = 125.85 : x
  2. Step 2: Convert to fraction form
    208.67/288.02 = 125.85/x
  3. Step 3: Cross multiply
    208.67x = 288.02 × 125.85
  4. Step 4: Simplify right side
    208.67x = 36,247.63
  5. Step 5: Solve for x
    x = 36,247.63/208.67
  6. Step 6: Final answer
    x = 173.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.