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Finding the Fourth Proportional to 208.26, 287.42 and 134.64

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Solution

The fourth proportional to 208.26, 287.42 and 134.64 is: 185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 287.42 = 134.64 : x
  2. Step 2: Convert to fraction form
    208.26/287.42 = 134.64/x
  3. Step 3: Cross multiply
    208.26x = 287.42 × 134.64
  4. Step 4: Simplify right side
    208.26x = 38,697.56
  5. Step 5: Solve for x
    x = 38,697.56/208.26
  6. Step 6: Final answer
    x = 185.81

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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.