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Finding the Fourth Proportional to 296.41, 444.44 and 113.76

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Solution

The fourth proportional to 296.41, 444.44 and 113.76 is: 170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.41 : 444.44 = 113.76 : x
  2. Step 2: Convert to fraction form
    296.41/444.44 = 113.76/x
  3. Step 3: Cross multiply
    296.41x = 444.44 × 113.76
  4. Step 4: Simplify right side
    296.41x = 50,559.49
  5. Step 5: Solve for x
    x = 50,559.49/296.41
  6. Step 6: Final answer
    x = 170.57

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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.