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Finding the Fourth Proportional to 280.46, 419.99 and 193.88

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Solution

The fourth proportional to 280.46, 419.99 and 193.88 is: 290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.46 : 419.99 = 193.88 : x
  2. Step 2: Convert to fraction form
    280.46/419.99 = 193.88/x
  3. Step 3: Cross multiply
    280.46x = 419.99 × 193.88
  4. Step 4: Simplify right side
    280.46x = 81,424.59
  5. Step 5: Solve for x
    x = 81,424.59/280.46
  6. Step 6: Final answer
    x = 290.33

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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.