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Finding the Fourth Proportional to 278.36, 417.42 and 104.96

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Solution

The fourth proportional to 278.36, 417.42 and 104.96 is: 157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 417.42 = 104.96 : x
  2. Step 2: Convert to fraction form
    278.36/417.42 = 104.96/x
  3. Step 3: Cross multiply
    278.36x = 417.42 × 104.96
  4. Step 4: Simplify right side
    278.36x = 43,812.40
  5. Step 5: Solve for x
    x = 43,812.40/278.36
  6. Step 6: Final answer
    x = 157.39

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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.