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Finding the Fourth Proportional to 184.83, 276.84 and 116.39

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Solution

The fourth proportional to 184.83, 276.84 and 116.39 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.83 : 276.84 = 116.39 : x
  2. Step 2: Convert to fraction form
    184.83/276.84 = 116.39/x
  3. Step 3: Cross multiply
    184.83x = 276.84 × 116.39
  4. Step 4: Simplify right side
    184.83x = 32,220.02
  5. Step 5: Solve for x
    x = 32,220.02/184.83
  6. Step 6: Final answer
    x = 174.32

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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.