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Finding the Fourth Proportional to 296.31, 444.60 and 113.69

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Solution

The fourth proportional to 296.31, 444.60 and 113.69 is: 170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.31 : 444.60 = 113.69 : x
  2. Step 2: Convert to fraction form
    296.31/444.60 = 113.69/x
  3. Step 3: Cross multiply
    296.31x = 444.60 × 113.69
  4. Step 4: Simplify right side
    296.31x = 50,546.57
  5. Step 5: Solve for x
    x = 50,546.57/296.31
  6. Step 6: Final answer
    x = 170.59

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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.