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Finding the Fourth Proportional to 278.14, 417.26 and 104.80

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Solution

The fourth proportional to 278.14, 417.26 and 104.80 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 417.26 = 104.80 : x
  2. Step 2: Convert to fraction form
    278.14/417.26 = 104.80/x
  3. Step 3: Cross multiply
    278.14x = 417.26 × 104.80
  4. Step 4: Simplify right side
    278.14x = 43,728.85
  5. Step 5: Solve for x
    x = 43,728.85/278.14
  6. Step 6: Final answer
    x = 157.22

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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.