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Finding the Fourth Proportional to 280.25, 420.39 and 143.27

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Solution

The fourth proportional to 280.25, 420.39 and 143.27 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 420.39 = 143.27 : x
  2. Step 2: Convert to fraction form
    280.25/420.39 = 143.27/x
  3. Step 3: Cross multiply
    280.25x = 420.39 × 143.27
  4. Step 4: Simplify right side
    280.25x = 60,227.17
  5. Step 5: Solve for x
    x = 60,227.17/280.25
  6. Step 6: Final answer
    x = 214.91

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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.