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Finding the Fourth Proportional to 296.06, 443.52 and 113.36

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Solution

The fourth proportional to 296.06, 443.52 and 113.36 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 443.52 = 113.36 : x
  2. Step 2: Convert to fraction form
    296.06/443.52 = 113.36/x
  3. Step 3: Cross multiply
    296.06x = 443.52 × 113.36
  4. Step 4: Simplify right side
    296.06x = 50,275.21
  5. Step 5: Solve for x
    x = 50,275.21/296.06
  6. Step 6: Final answer
    x = 169.82

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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.