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Finding the Fourth Proportional to 184.31, 276.38 and 76.07

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Solution

The fourth proportional to 184.31, 276.38 and 76.07 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.31 : 276.38 = 76.07 : x
  2. Step 2: Convert to fraction form
    184.31/276.38 = 76.07/x
  3. Step 3: Cross multiply
    184.31x = 276.38 × 76.07
  4. Step 4: Simplify right side
    184.31x = 21,023.85
  5. Step 5: Solve for x
    x = 21,023.85/184.31
  6. Step 6: Final answer
    x = 114.07

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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.