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Finding the Fourth Proportional to 278.98, 418.53 and 116.54

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Solution

The fourth proportional to 278.98, 418.53 and 116.54 is: 174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.98 : 418.53 = 116.54 : x
  2. Step 2: Convert to fraction form
    278.98/418.53 = 116.54/x
  3. Step 3: Cross multiply
    278.98x = 418.53 × 116.54
  4. Step 4: Simplify right side
    278.98x = 48,775.40
  5. Step 5: Solve for x
    x = 48,775.40/278.98
  6. Step 6: Final answer
    x = 174.84

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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.