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Finding the Fourth Proportional to 208.80, 287.82 and 165.06

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Solution

The fourth proportional to 208.80, 287.82 and 165.06 is: 227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 287.82 = 165.06 : x
  2. Step 2: Convert to fraction form
    208.80/287.82 = 165.06/x
  3. Step 3: Cross multiply
    208.80x = 287.82 × 165.06
  4. Step 4: Simplify right side
    208.80x = 47,507.57
  5. Step 5: Solve for x
    x = 47,507.57/208.80
  6. Step 6: Final answer
    x = 227.53

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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.