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Finding the Fourth Proportional to 278.25, 417.42 and 104.98

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Solution

The fourth proportional to 278.25, 417.42 and 104.98 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 417.42 = 104.98 : x
  2. Step 2: Convert to fraction form
    278.25/417.42 = 104.98/x
  3. Step 3: Cross multiply
    278.25x = 417.42 × 104.98
  4. Step 4: Simplify right side
    278.25x = 43,821.37
  5. Step 5: Solve for x
    x = 43,821.37/278.25
  6. Step 6: Final answer
    x = 157.49

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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.