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Finding the Fourth Proportional to 184.72, 254.80 and 122.44

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Solution

The fourth proportional to 184.72, 254.80 and 122.44 is: 168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 254.80 = 122.44 : x
  2. Step 2: Convert to fraction form
    184.72/254.80 = 122.44/x
  3. Step 3: Cross multiply
    184.72x = 254.80 × 122.44
  4. Step 4: Simplify right side
    184.72x = 31,197.71
  5. Step 5: Solve for x
    x = 31,197.71/184.72
  6. Step 6: Final answer
    x = 168.89

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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.