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Finding the Fourth Proportional to 280.81, 420.49 and 199.45

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Solution

The fourth proportional to 280.81, 420.49 and 199.45 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.81 : 420.49 = 199.45 : x
  2. Step 2: Convert to fraction form
    280.81/420.49 = 199.45/x
  3. Step 3: Cross multiply
    280.81x = 420.49 × 199.45
  4. Step 4: Simplify right side
    280.81x = 83,866.73
  5. Step 5: Solve for x
    x = 83,866.73/280.81
  6. Step 6: Final answer
    x = 298.66

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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.