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Finding the Fourth Proportional to 289.31, 399.23 and 164.97

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Solution

The fourth proportional to 289.31, 399.23 and 164.97 is: 227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.31 : 399.23 = 164.97 : x
  2. Step 2: Convert to fraction form
    289.31/399.23 = 164.97/x
  3. Step 3: Cross multiply
    289.31x = 399.23 × 164.97
  4. Step 4: Simplify right side
    289.31x = 65,860.77
  5. Step 5: Solve for x
    x = 65,860.77/289.31
  6. Step 6: Final answer
    x = 227.65

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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.