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Finding the Fourth Proportional to 296.03, 443.32 and 199.55

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Solution

The fourth proportional to 296.03, 443.32 and 199.55 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.03 : 443.32 = 199.55 : x
  2. Step 2: Convert to fraction form
    296.03/443.32 = 199.55/x
  3. Step 3: Cross multiply
    296.03x = 443.32 × 199.55
  4. Step 4: Simplify right side
    296.03x = 88,461.79
  5. Step 5: Solve for x
    x = 88,461.79/296.03
  6. Step 6: Final answer
    x = 298.83

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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.