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Finding the Fourth Proportional to 280.73, 420.64 and 199.17

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Solution

The fourth proportional to 280.73, 420.64 and 199.17 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.73 : 420.64 = 199.17 : x
  2. Step 2: Convert to fraction form
    280.73/420.64 = 199.17/x
  3. Step 3: Cross multiply
    280.73x = 420.64 × 199.17
  4. Step 4: Simplify right side
    280.73x = 83,778.87
  5. Step 5: Solve for x
    x = 83,778.87/280.73
  6. Step 6: Final answer
    x = 298.43

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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.