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Finding the Fourth Proportional to 280.04, 419.26 and 194.28

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Solution

The fourth proportional to 280.04, 419.26 and 194.28 is: 290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.04 : 419.26 = 194.28 : x
  2. Step 2: Convert to fraction form
    280.04/419.26 = 194.28/x
  3. Step 3: Cross multiply
    280.04x = 419.26 × 194.28
  4. Step 4: Simplify right side
    280.04x = 81,453.83
  5. Step 5: Solve for x
    x = 81,453.83/280.04
  6. Step 6: Final answer
    x = 290.86

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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.