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Finding the Fourth Proportional to 184.38, 254.36 and 122.16

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Solution

The fourth proportional to 184.38, 254.36 and 122.16 is: 168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.38 : 254.36 = 122.16 : x
  2. Step 2: Convert to fraction form
    184.38/254.36 = 122.16/x
  3. Step 3: Cross multiply
    184.38x = 254.36 × 122.16
  4. Step 4: Simplify right side
    184.38x = 31,072.62
  5. Step 5: Solve for x
    x = 31,072.62/184.38
  6. Step 6: Final answer
    x = 168.52

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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.