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Finding the Fourth Proportional to 184.39, 276.49 and 76.09

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Solution

The fourth proportional to 184.39, 276.49 and 76.09 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.39 : 276.49 = 76.09 : x
  2. Step 2: Convert to fraction form
    184.39/276.49 = 76.09/x
  3. Step 3: Cross multiply
    184.39x = 276.49 × 76.09
  4. Step 4: Simplify right side
    184.39x = 21,038.12
  5. Step 5: Solve for x
    x = 21,038.12/184.39
  6. Step 6: Final answer
    x = 114.10

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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.