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Finding the Fourth Proportional to 278.43, 417.68 and 105.09

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Solution

The fourth proportional to 278.43, 417.68 and 105.09 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.43 : 417.68 = 105.09 : x
  2. Step 2: Convert to fraction form
    278.43/417.68 = 105.09/x
  3. Step 3: Cross multiply
    278.43x = 417.68 × 105.09
  4. Step 4: Simplify right side
    278.43x = 43,893.47
  5. Step 5: Solve for x
    x = 43,893.47/278.43
  6. Step 6: Final answer
    x = 157.65

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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.