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Finding the Fourth Proportional to 296.35, 443.46 and 180.82

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Solution

The fourth proportional to 296.35, 443.46 and 180.82 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.35 : 443.46 = 180.82 : x
  2. Step 2: Convert to fraction form
    296.35/443.46 = 180.82/x
  3. Step 3: Cross multiply
    296.35x = 443.46 × 180.82
  4. Step 4: Simplify right side
    296.35x = 80,185.53
  5. Step 5: Solve for x
    x = 80,185.53/296.35
  6. Step 6: Final answer
    x = 270.58

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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.