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Finding the Fourth Proportional to 730.55, 1,095.80 and 182.73

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Solution

The fourth proportional to 730.55, 1,095.80 and 182.73 is: 274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.55 : 1,095.80 = 182.73 : x
  2. Step 2: Convert to fraction form
    730.55/1,095.80 = 182.73/x
  3. Step 3: Cross multiply
    730.55x = 1,095.80 × 182.73
  4. Step 4: Simplify right side
    730.55x = 200,235.53
  5. Step 5: Solve for x
    x = 200,235.53/730.55
  6. Step 6: Final answer
    x = 274.09

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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.