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Finding the Fourth Proportional to 208.66, 287.46 and 185.34

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Solution

The fourth proportional to 208.66, 287.46 and 185.34 is: 255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 287.46 = 185.34 : x
  2. Step 2: Convert to fraction form
    208.66/287.46 = 185.34/x
  3. Step 3: Cross multiply
    208.66x = 287.46 × 185.34
  4. Step 4: Simplify right side
    208.66x = 53,277.84
  5. Step 5: Solve for x
    x = 53,277.84/208.66
  6. Step 6: Final answer
    x = 255.33

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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.