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Finding the Fourth Proportional to 299.30, 412.94 and 168.31

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Solution

The fourth proportional to 299.30, 412.94 and 168.31 is: 232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 412.94 = 168.31 : x
  2. Step 2: Convert to fraction form
    299.30/412.94 = 168.31/x
  3. Step 3: Cross multiply
    299.30x = 412.94 × 168.31
  4. Step 4: Simplify right side
    299.30x = 69,499.03
  5. Step 5: Solve for x
    x = 69,499.03/299.30
  6. Step 6: Final answer
    x = 232.21

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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.