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Finding the Fourth Proportional to 184.25, 254.27 and 106.67

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Solution

The fourth proportional to 184.25, 254.27 and 106.67 is: 147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.25 : 254.27 = 106.67 : x
  2. Step 2: Convert to fraction form
    184.25/254.27 = 106.67/x
  3. Step 3: Cross multiply
    184.25x = 254.27 × 106.67
  4. Step 4: Simplify right side
    184.25x = 27,122.45
  5. Step 5: Solve for x
    x = 27,122.45/184.25
  6. Step 6: Final answer
    x = 147.20

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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.