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Finding the Fourth Proportional to 299.12, 412.58 and 182.74

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Solution

The fourth proportional to 299.12, 412.58 and 182.74 is: 252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 412.58 = 182.74 : x
  2. Step 2: Convert to fraction form
    299.12/412.58 = 182.74/x
  3. Step 3: Cross multiply
    299.12x = 412.58 × 182.74
  4. Step 4: Simplify right side
    299.12x = 75,394.87
  5. Step 5: Solve for x
    x = 75,394.87/299.12
  6. Step 6: Final answer
    x = 252.06

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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.