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Finding the Fourth Proportional to 184.03, 254.24 and 160.81

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Solution

The fourth proportional to 184.03, 254.24 and 160.81 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.03 : 254.24 = 160.81 : x
  2. Step 2: Convert to fraction form
    184.03/254.24 = 160.81/x
  3. Step 3: Cross multiply
    184.03x = 254.24 × 160.81
  4. Step 4: Simplify right side
    184.03x = 40,884.33
  5. Step 5: Solve for x
    x = 40,884.33/184.03
  6. Step 6: Final answer
    x = 222.16

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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.