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Finding the Fourth Proportional to 299.29, 412.65 and 182.83

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Solution

The fourth proportional to 299.29, 412.65 and 182.83 is: 252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.29 : 412.65 = 182.83 : x
  2. Step 2: Convert to fraction form
    299.29/412.65 = 182.83/x
  3. Step 3: Cross multiply
    299.29x = 412.65 × 182.83
  4. Step 4: Simplify right side
    299.29x = 75,441.82
  5. Step 5: Solve for x
    x = 75,441.82/299.29
  6. Step 6: Final answer
    x = 252.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.