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Finding the Fourth Proportional to 280.14, 420.24 and 97.68

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Solution

The fourth proportional to 280.14, 420.24 and 97.68 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 420.24 = 97.68 : x
  2. Step 2: Convert to fraction form
    280.14/420.24 = 97.68/x
  3. Step 3: Cross multiply
    280.14x = 420.24 × 97.68
  4. Step 4: Simplify right side
    280.14x = 41,049.04
  5. Step 5: Solve for x
    x = 41,049.04/280.14
  6. Step 6: Final answer
    x = 146.53

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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.