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Finding the Fourth Proportional to 184.39, 275.77 and 163.96

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Solution

The fourth proportional to 184.39, 275.77 and 163.96 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.39 : 275.77 = 163.96 : x
  2. Step 2: Convert to fraction form
    184.39/275.77 = 163.96/x
  3. Step 3: Cross multiply
    184.39x = 275.77 × 163.96
  4. Step 4: Simplify right side
    184.39x = 45,214.76
  5. Step 5: Solve for x
    x = 45,214.76/184.39
  6. Step 6: Final answer
    x = 245.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.