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Finding the Fourth Proportional to 280.14, 419.56 and 142.85

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Solution

The fourth proportional to 280.14, 419.56 and 142.85 is: 213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 419.56 = 142.85 : x
  2. Step 2: Convert to fraction form
    280.14/419.56 = 142.85/x
  3. Step 3: Cross multiply
    280.14x = 419.56 × 142.85
  4. Step 4: Simplify right side
    280.14x = 59,934.15
  5. Step 5: Solve for x
    x = 59,934.15/280.14
  6. Step 6: Final answer
    x = 213.94

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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.