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Finding the Fourth Proportional to 207.80, 286.62 and 164.24

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Solution

The fourth proportional to 207.80, 286.62 and 164.24 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 286.62 = 164.24 : x
  2. Step 2: Convert to fraction form
    207.80/286.62 = 164.24/x
  3. Step 3: Cross multiply
    207.80x = 286.62 × 164.24
  4. Step 4: Simplify right side
    207.80x = 47,074.47
  5. Step 5: Solve for x
    x = 47,074.47/207.80
  6. Step 6: Final answer
    x = 226.54

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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.