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Finding the Fourth Proportional to 207.72, 287.01 and 164.43

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Solution

The fourth proportional to 207.72, 287.01 and 164.43 is: 227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.72 : 287.01 = 164.43 : x
  2. Step 2: Convert to fraction form
    207.72/287.01 = 164.43/x
  3. Step 3: Cross multiply
    207.72x = 287.01 × 164.43
  4. Step 4: Simplify right side
    207.72x = 47,193.05
  5. Step 5: Solve for x
    x = 47,193.05/207.72
  6. Step 6: Final answer
    x = 227.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.