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Finding the Fourth Proportional to 184.49, 276.75 and 76.31

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Solution

The fourth proportional to 184.49, 276.75 and 76.31 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.49 : 276.75 = 76.31 : x
  2. Step 2: Convert to fraction form
    184.49/276.75 = 76.31/x
  3. Step 3: Cross multiply
    184.49x = 276.75 × 76.31
  4. Step 4: Simplify right side
    184.49x = 21,118.79
  5. Step 5: Solve for x
    x = 21,118.79/184.49
  6. Step 6: Final answer
    x = 114.47

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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.