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Finding the Fourth Proportional to 184.30, 254.82 and 161.24

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Solution

The fourth proportional to 184.30, 254.82 and 161.24 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.30 : 254.82 = 161.24 : x
  2. Step 2: Convert to fraction form
    184.30/254.82 = 161.24/x
  3. Step 3: Cross multiply
    184.30x = 254.82 × 161.24
  4. Step 4: Simplify right side
    184.30x = 41,086.51
  5. Step 5: Solve for x
    x = 41,086.51/184.30
  6. Step 6: Final answer
    x = 222.94

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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.