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Finding the Fourth Proportional to 278.56, 417.84 and 116.26

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Solution

The fourth proportional to 278.56, 417.84 and 116.26 is: 174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 417.84 = 116.26 : x
  2. Step 2: Convert to fraction form
    278.56/417.84 = 116.26/x
  3. Step 3: Cross multiply
    278.56x = 417.84 × 116.26
  4. Step 4: Simplify right side
    278.56x = 48,578.08
  5. Step 5: Solve for x
    x = 48,578.08/278.56
  6. Step 6: Final answer
    x = 174.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.