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Finding the Fourth Proportional to 296.00, 443.48 and 180.58

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Solution

The fourth proportional to 296.00, 443.48 and 180.58 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.00 : 443.48 = 180.58 : x
  2. Step 2: Convert to fraction form
    296.00/443.48 = 180.58/x
  3. Step 3: Cross multiply
    296.00x = 443.48 × 180.58
  4. Step 4: Simplify right side
    296.00x = 80,082.44
  5. Step 5: Solve for x
    x = 80,082.44/296.00
  6. Step 6: Final answer
    x = 270.54

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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.