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Finding the Fourth Proportional to 280.27, 419.74 and 142.97

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Solution

The fourth proportional to 280.27, 419.74 and 142.97 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.27 : 419.74 = 142.97 : x
  2. Step 2: Convert to fraction form
    280.27/419.74 = 142.97/x
  3. Step 3: Cross multiply
    280.27x = 419.74 × 142.97
  4. Step 4: Simplify right side
    280.27x = 60,010.23
  5. Step 5: Solve for x
    x = 60,010.23/280.27
  6. Step 6: Final answer
    x = 214.12

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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.