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Finding the Fourth Proportional to 289.31, 399.20 and 164.96

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Solution

The fourth proportional to 289.31, 399.20 and 164.96 is: 227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.31 : 399.20 = 164.96 : x
  2. Step 2: Convert to fraction form
    289.31/399.20 = 164.96/x
  3. Step 3: Cross multiply
    289.31x = 399.20 × 164.96
  4. Step 4: Simplify right side
    289.31x = 65,852.03
  5. Step 5: Solve for x
    x = 65,852.03/289.31
  6. Step 6: Final answer
    x = 227.62

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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.