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Finding the Fourth Proportional to 282.08, 421.96 and 199.82

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Solution

The fourth proportional to 282.08, 421.96 and 199.82 is: 298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.08 : 421.96 = 199.82 : x
  2. Step 2: Convert to fraction form
    282.08/421.96 = 199.82/x
  3. Step 3: Cross multiply
    282.08x = 421.96 × 199.82
  4. Step 4: Simplify right side
    282.08x = 84,316.05
  5. Step 5: Solve for x
    x = 84,316.05/282.08
  6. Step 6: Final answer
    x = 298.91

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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.