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Finding the Fourth Proportional to 184.90, 277.56 and 119.92

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Solution

The fourth proportional to 184.90, 277.56 and 119.92 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 277.56 = 119.92 : x
  2. Step 2: Convert to fraction form
    184.90/277.56 = 119.92/x
  3. Step 3: Cross multiply
    184.90x = 277.56 × 119.92
  4. Step 4: Simplify right side
    184.90x = 33,285.00
  5. Step 5: Solve for x
    x = 33,285.00/184.90
  6. Step 6: Final answer
    x = 180.02

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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.