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Finding the Fourth Proportional to 278.86, 418.32 and 116.44

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Solution

The fourth proportional to 278.86, 418.32 and 116.44 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.86 : 418.32 = 116.44 : x
  2. Step 2: Convert to fraction form
    278.86/418.32 = 116.44/x
  3. Step 3: Cross multiply
    278.86x = 418.32 × 116.44
  4. Step 4: Simplify right side
    278.86x = 48,709.18
  5. Step 5: Solve for x
    x = 48,709.18/278.86
  6. Step 6: Final answer
    x = 174.67

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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.