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Finding the Fourth Proportional to 280.43, 420.68 and 97.78

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Solution

The fourth proportional to 280.43, 420.68 and 97.78 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.43 : 420.68 = 97.78 : x
  2. Step 2: Convert to fraction form
    280.43/420.68 = 97.78/x
  3. Step 3: Cross multiply
    280.43x = 420.68 × 97.78
  4. Step 4: Simplify right side
    280.43x = 41,134.09
  5. Step 5: Solve for x
    x = 41,134.09/280.43
  6. Step 6: Final answer
    x = 146.68

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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.