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Finding the Fourth Proportional to 183.64, 276.61 and 167.51

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Solution

The fourth proportional to 183.64, 276.61 and 167.51 is: 252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 276.61 = 167.51 : x
  2. Step 2: Convert to fraction form
    183.64/276.61 = 167.51/x
  3. Step 3: Cross multiply
    183.64x = 276.61 × 167.51
  4. Step 4: Simplify right side
    183.64x = 46,334.94
  5. Step 5: Solve for x
    x = 46,334.94/183.64
  6. Step 6: Final answer
    x = 252.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.