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Finding the Fourth Proportional to 278.73, 417.64 and 197.17

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Solution

The fourth proportional to 278.73, 417.64 and 197.17 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 417.64 = 197.17 : x
  2. Step 2: Convert to fraction form
    278.73/417.64 = 197.17/x
  3. Step 3: Cross multiply
    278.73x = 417.64 × 197.17
  4. Step 4: Simplify right side
    278.73x = 82,346.08
  5. Step 5: Solve for x
    x = 82,346.08/278.73
  6. Step 6: Final answer
    x = 295.43

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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.