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Finding the Fourth Proportional to 183.40, 251.66 and 166.96

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Solution

The fourth proportional to 183.40, 251.66 and 166.96 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.40 : 251.66 = 166.96 : x
  2. Step 2: Convert to fraction form
    183.40/251.66 = 166.96/x
  3. Step 3: Cross multiply
    183.40x = 251.66 × 166.96
  4. Step 4: Simplify right side
    183.40x = 42,017.15
  5. Step 5: Solve for x
    x = 42,017.15/183.40
  6. Step 6: Final answer
    x = 229.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.