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Finding the Fourth Proportional to 289.33, 399.28 and 164.99

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Solution

The fourth proportional to 289.33, 399.28 and 164.99 is: 227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.33 : 399.28 = 164.99 : x
  2. Step 2: Convert to fraction form
    289.33/399.28 = 164.99/x
  3. Step 3: Cross multiply
    289.33x = 399.28 × 164.99
  4. Step 4: Simplify right side
    289.33x = 65,877.62
  5. Step 5: Solve for x
    x = 65,877.62/289.33
  6. Step 6: Final answer
    x = 227.69

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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.