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Finding the Fourth Proportional to 296.40, 443.96 and 181.84

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Solution

The fourth proportional to 296.40, 443.96 and 181.84 is: 272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.40 : 443.96 = 181.84 : x
  2. Step 2: Convert to fraction form
    296.40/443.96 = 181.84/x
  3. Step 3: Cross multiply
    296.40x = 443.96 × 181.84
  4. Step 4: Simplify right side
    296.40x = 80,729.69
  5. Step 5: Solve for x
    x = 80,729.69/296.40
  6. Step 6: Final answer
    x = 272.37

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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.