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Finding the Fourth Proportional to 280.47, 420.57 and 97.82

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Solution

The fourth proportional to 280.47, 420.57 and 97.82 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.47 : 420.57 = 97.82 : x
  2. Step 2: Convert to fraction form
    280.47/420.57 = 97.82/x
  3. Step 3: Cross multiply
    280.47x = 420.57 × 97.82
  4. Step 4: Simplify right side
    280.47x = 41,138.05
  5. Step 5: Solve for x
    x = 41,138.05/280.47
  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.