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Finding the Fourth Proportional to 299.10, 412.92 and 182.82

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Solution

The fourth proportional to 299.10, 412.92 and 182.82 is: 252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.10 : 412.92 = 182.82 : x
  2. Step 2: Convert to fraction form
    299.10/412.92 = 182.82/x
  3. Step 3: Cross multiply
    299.10x = 412.92 × 182.82
  4. Step 4: Simplify right side
    299.10x = 75,490.03
  5. Step 5: Solve for x
    x = 75,490.03/299.10
  6. Step 6: Final answer
    x = 252.39

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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.