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Finding the Fourth Proportional to 295.82, 443.82 and 113.24

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Solution

The fourth proportional to 295.82, 443.82 and 113.24 is: 169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 443.82 = 113.24 : x
  2. Step 2: Convert to fraction form
    295.82/443.82 = 113.24/x
  3. Step 3: Cross multiply
    295.82x = 443.82 × 113.24
  4. Step 4: Simplify right side
    295.82x = 50,255.96
  5. Step 5: Solve for x
    x = 50,255.96/295.82
  6. Step 6: Final answer
    x = 169.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.