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Finding the Fourth Proportional to 280.39, 419.56 and 170.29

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Solution

The fourth proportional to 280.39, 419.56 and 170.29 is: 254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.39 : 419.56 = 170.29 : x
  2. Step 2: Convert to fraction form
    280.39/419.56 = 170.29/x
  3. Step 3: Cross multiply
    280.39x = 419.56 × 170.29
  4. Step 4: Simplify right side
    280.39x = 71,446.87
  5. Step 5: Solve for x
    x = 71,446.87/280.39
  6. Step 6: Final answer
    x = 254.81

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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.