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Finding the Fourth Proportional to 296, 443.96 and 113.30

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Solution

The fourth proportional to 296, 443.96 and 113.30 is: 169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 443.96 = 113.30 : x
  2. Step 2: Convert to fraction form
    296/443.96 = 113.30/x
  3. Step 3: Cross multiply
    296x = 443.96 × 113.30
  4. Step 4: Simplify right side
    296x = 50,300.67
  5. Step 5: Solve for x
    x = 50,300.67/296
  6. Step 6: Final answer
    x = 169.93

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Why These Related Problems?

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