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Finding the Fourth Proportional to 296.67, 444.80 and 113.96

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Solution

The fourth proportional to 296.67, 444.80 and 113.96 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.67 : 444.80 = 113.96 : x
  2. Step 2: Convert to fraction form
    296.67/444.80 = 113.96/x
  3. Step 3: Cross multiply
    296.67x = 444.80 × 113.96
  4. Step 4: Simplify right side
    296.67x = 50,686.61
  5. Step 5: Solve for x
    x = 50,686.61/296.67
  6. Step 6: Final answer
    x = 170.85

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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.