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Finding the Fourth Proportional to 280.14, 419.82 and 133.95

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Solution

The fourth proportional to 280.14, 419.82 and 133.95 is: 200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 419.82 = 133.95 : x
  2. Step 2: Convert to fraction form
    280.14/419.82 = 133.95/x
  3. Step 3: Cross multiply
    280.14x = 419.82 × 133.95
  4. Step 4: Simplify right side
    280.14x = 56,234.89
  5. Step 5: Solve for x
    x = 56,234.89/280.14
  6. Step 6: Final answer
    x = 200.74

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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.