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Finding the Fourth Proportional to 183.85, 253.66 and 118.37

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Solution

The fourth proportional to 183.85, 253.66 and 118.37 is: 163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.85 : 253.66 = 118.37 : x
  2. Step 2: Convert to fraction form
    183.85/253.66 = 118.37/x
  3. Step 3: Cross multiply
    183.85x = 253.66 × 118.37
  4. Step 4: Simplify right side
    183.85x = 30,025.73
  5. Step 5: Solve for x
    x = 30,025.73/183.85
  6. Step 6: Final answer
    x = 163.32

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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.