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Finding the Fourth Proportional to 184.86, 276.98 and 116.19

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Solution

The fourth proportional to 184.86, 276.98 and 116.19 is: 174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.86 : 276.98 = 116.19 : x
  2. Step 2: Convert to fraction form
    184.86/276.98 = 116.19/x
  3. Step 3: Cross multiply
    184.86x = 276.98 × 116.19
  4. Step 4: Simplify right side
    184.86x = 32,181.73
  5. Step 5: Solve for x
    x = 32,181.73/184.86
  6. Step 6: Final answer
    x = 174.09

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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.