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Finding the Fourth Proportional to 280.13, 419.82 and 189.41

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Solution

The fourth proportional to 280.13, 419.82 and 189.41 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.13 : 419.82 = 189.41 : x
  2. Step 2: Convert to fraction form
    280.13/419.82 = 189.41/x
  3. Step 3: Cross multiply
    280.13x = 419.82 × 189.41
  4. Step 4: Simplify right side
    280.13x = 79,515.30
  5. Step 5: Solve for x
    x = 79,515.30/280.13
  6. Step 6: Final answer
    x = 283.86

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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.