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Finding the Fourth Proportional to 207.76, 286.88 and 164.20

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Solution

The fourth proportional to 207.76, 286.88 and 164.20 is: 226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.76 : 286.88 = 164.20 : x
  2. Step 2: Convert to fraction form
    207.76/286.88 = 164.20/x
  3. Step 3: Cross multiply
    207.76x = 286.88 × 164.20
  4. Step 4: Simplify right side
    207.76x = 47,105.70
  5. Step 5: Solve for x
    x = 47,105.70/207.76
  6. Step 6: Final answer
    x = 226.73

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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.