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Finding the Fourth Proportional to 280.54, 420.87 and 97.94

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Solution

The fourth proportional to 280.54, 420.87 and 97.94 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.54 : 420.87 = 97.94 : x
  2. Step 2: Convert to fraction form
    280.54/420.87 = 97.94/x
  3. Step 3: Cross multiply
    280.54x = 420.87 × 97.94
  4. Step 4: Simplify right side
    280.54x = 41,220.01
  5. Step 5: Solve for x
    x = 41,220.01/280.54
  6. Step 6: Final answer
    x = 146.93

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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.