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Finding the Fourth Proportional to 208.67, 288.09 and 134.03

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Solution

The fourth proportional to 208.67, 288.09 and 134.03 is: 185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.67 : 288.09 = 134.03 : x
  2. Step 2: Convert to fraction form
    208.67/288.09 = 134.03/x
  3. Step 3: Cross multiply
    208.67x = 288.09 × 134.03
  4. Step 4: Simplify right side
    208.67x = 38,611.26
  5. Step 5: Solve for x
    x = 38,611.26/208.67
  6. Step 6: Final answer
    x = 185.04

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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.