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Finding the Fourth Proportional to 184.43, 275.64 and 169.83

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Solution

The fourth proportional to 184.43, 275.64 and 169.83 is: 253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.43 : 275.64 = 169.83 : x
  2. Step 2: Convert to fraction form
    184.43/275.64 = 169.83/x
  3. Step 3: Cross multiply
    184.43x = 275.64 × 169.83
  4. Step 4: Simplify right side
    184.43x = 46,811.09
  5. Step 5: Solve for x
    x = 46,811.09/184.43
  6. Step 6: Final answer
    x = 253.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.