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Finding the Fourth Proportional to 280.46, 420.78 and 97.86

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Solution

The fourth proportional to 280.46, 420.78 and 97.86 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.46 : 420.78 = 97.86 : x
  2. Step 2: Convert to fraction form
    280.46/420.78 = 97.86/x
  3. Step 3: Cross multiply
    280.46x = 420.78 × 97.86
  4. Step 4: Simplify right side
    280.46x = 41,177.53
  5. Step 5: Solve for x
    x = 41,177.53/280.46
  6. Step 6: Final answer
    x = 146.82

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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.