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Finding the Fourth Proportional to 184.52, 276.76 and 120.26

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Solution

The fourth proportional to 184.52, 276.76 and 120.26 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.52 : 276.76 = 120.26 : x
  2. Step 2: Convert to fraction form
    184.52/276.76 = 120.26/x
  3. Step 3: Cross multiply
    184.52x = 276.76 × 120.26
  4. Step 4: Simplify right side
    184.52x = 33,283.16
  5. Step 5: Solve for x
    x = 33,283.16/184.52
  6. Step 6: Final answer
    x = 180.38

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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.