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Finding the Fourth Proportional to 733.55, 1,100.24 and 185.69

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Solution

The fourth proportional to 733.55, 1,100.24 and 185.69 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.55 : 1,100.24 = 185.69 : x
  2. Step 2: Convert to fraction form
    733.55/1,100.24 = 185.69/x
  3. Step 3: Cross multiply
    733.55x = 1,100.24 × 185.69
  4. Step 4: Simplify right side
    733.55x = 204,306.08
  5. Step 5: Solve for x
    x = 204,306.08/733.55
  6. Step 6: Final answer
    x = 278.52

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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.