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Finding the Fourth Proportional to 208.30, 287.13 and 164.56

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Solution

The fourth proportional to 208.30, 287.13 and 164.56 is: 226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.30 : 287.13 = 164.56 : x
  2. Step 2: Convert to fraction form
    208.30/287.13 = 164.56/x
  3. Step 3: Cross multiply
    208.30x = 287.13 × 164.56
  4. Step 4: Simplify right side
    208.30x = 47,250.11
  5. Step 5: Solve for x
    x = 47,250.11/208.30
  6. Step 6: Final answer
    x = 226.84

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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.