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Finding the Fourth Proportional to 280.04, 419.85 and 142.97

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Solution

The fourth proportional to 280.04, 419.85 and 142.97 is: 214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.04 : 419.85 = 142.97 : x
  2. Step 2: Convert to fraction form
    280.04/419.85 = 142.97/x
  3. Step 3: Cross multiply
    280.04x = 419.85 × 142.97
  4. Step 4: Simplify right side
    280.04x = 60,023.86
  5. Step 5: Solve for x
    x = 60,023.86/280.04
  6. Step 6: Final answer
    x = 214.34

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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.