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Finding the Fourth Proportional to 299.24, 412.96 and 168.25

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Solution

The fourth proportional to 299.24, 412.96 and 168.25 is: 232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 412.96 = 168.25 : x
  2. Step 2: Convert to fraction form
    299.24/412.96 = 168.25/x
  3. Step 3: Cross multiply
    299.24x = 412.96 × 168.25
  4. Step 4: Simplify right side
    299.24x = 69,480.52
  5. Step 5: Solve for x
    x = 69,480.52/299.24
  6. Step 6: Final answer
    x = 232.19

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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.