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Finding the Fourth Proportional to 208.23, 287.04 and 164.49

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Solution

The fourth proportional to 208.23, 287.04 and 164.49 is: 226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.23 : 287.04 = 164.49 : x
  2. Step 2: Convert to fraction form
    208.23/287.04 = 164.49/x
  3. Step 3: Cross multiply
    208.23x = 287.04 × 164.49
  4. Step 4: Simplify right side
    208.23x = 47,215.21
  5. Step 5: Solve for x
    x = 47,215.21/208.23
  6. Step 6: Final answer
    x = 226.75

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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.