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Finding the Fourth Proportional to 184.92, 254.74 and 129.55

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Solution

The fourth proportional to 184.92, 254.74 and 129.55 is: 178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 254.74 = 129.55 : x
  2. Step 2: Convert to fraction form
    184.92/254.74 = 129.55/x
  3. Step 3: Cross multiply
    184.92x = 254.74 × 129.55
  4. Step 4: Simplify right side
    184.92x = 33,001.57
  5. Step 5: Solve for x
    x = 33,001.57/184.92
  6. Step 6: Final answer
    x = 178.46

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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.