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Finding the Fourth Proportional to 293.10, 404.33 and 182.67

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Solution

The fourth proportional to 293.10, 404.33 and 182.67 is: 251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 404.33 = 182.67 : x
  2. Step 2: Convert to fraction form
    293.10/404.33 = 182.67/x
  3. Step 3: Cross multiply
    293.10x = 404.33 × 182.67
  4. Step 4: Simplify right side
    293.10x = 73,858.05
  5. Step 5: Solve for x
    x = 73,858.05/293.10
  6. Step 6: Final answer
    x = 251.99

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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.