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Finding the Fourth Proportional to 184.50, 254.61 and 106.88

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Solution

The fourth proportional to 184.50, 254.61 and 106.88 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.50 : 254.61 = 106.88 : x
  2. Step 2: Convert to fraction form
    184.50/254.61 = 106.88/x
  3. Step 3: Cross multiply
    184.50x = 254.61 × 106.88
  4. Step 4: Simplify right side
    184.50x = 27,211.44
  5. Step 5: Solve for x
    x = 27,211.44/184.50
  6. Step 6: Final answer
    x = 147.49

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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.