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Finding the Fourth Proportional to 280.43, 420.83 and 97.82

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Solution

The fourth proportional to 280.43, 420.83 and 97.82 is: 146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.43 : 420.83 = 97.82 : x
  2. Step 2: Convert to fraction form
    280.43/420.83 = 97.82/x
  3. Step 3: Cross multiply
    280.43x = 420.83 × 97.82
  4. Step 4: Simplify right side
    280.43x = 41,165.59
  5. Step 5: Solve for x
    x = 41,165.59/280.43
  6. Step 6: Final answer
    x = 146.80

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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.