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Finding the Fourth Proportional to 184.35, 277.94 and 182.31

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Solution

The fourth proportional to 184.35, 277.94 and 182.31 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.35 : 277.94 = 182.31 : x
  2. Step 2: Convert to fraction form
    184.35/277.94 = 182.31/x
  3. Step 3: Cross multiply
    184.35x = 277.94 × 182.31
  4. Step 4: Simplify right side
    184.35x = 50,671.24
  5. Step 5: Solve for x
    x = 50,671.24/184.35
  6. Step 6: Final answer
    x = 274.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.