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Finding the Fourth Proportional to 183.66, 253.46 and 113.73

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Solution

The fourth proportional to 183.66, 253.46 and 113.73 is: 156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 253.46 = 113.73 : x
  2. Step 2: Convert to fraction form
    183.66/253.46 = 113.73/x
  3. Step 3: Cross multiply
    183.66x = 253.46 × 113.73
  4. Step 4: Simplify right side
    183.66x = 28,825.44
  5. Step 5: Solve for x
    x = 28,825.44/183.66
  6. Step 6: Final answer
    x = 156.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.