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Finding the Fourth Proportional to 184.79, 254.84 and 129.44

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Solution

The fourth proportional to 184.79, 254.84 and 129.44 is: 178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.79 : 254.84 = 129.44 : x
  2. Step 2: Convert to fraction form
    184.79/254.84 = 129.44/x
  3. Step 3: Cross multiply
    184.79x = 254.84 × 129.44
  4. Step 4: Simplify right side
    184.79x = 32,984.57
  5. Step 5: Solve for x
    x = 32,984.57/184.79
  6. Step 6: Final answer
    x = 178.50

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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.