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Finding the Fourth Proportional to 299.26, 412.96 and 164.66

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Solution

The fourth proportional to 299.26, 412.96 and 164.66 is: 227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 412.96 = 164.66 : x
  2. Step 2: Convert to fraction form
    299.26/412.96 = 164.66/x
  3. Step 3: Cross multiply
    299.26x = 412.96 × 164.66
  4. Step 4: Simplify right side
    299.26x = 67,997.99
  5. Step 5: Solve for x
    x = 67,997.99/299.26
  6. Step 6: Final answer
    x = 227.22

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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.