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Finding the Fourth Proportional to 184.97, 255.24 and 106.30

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Solution

The fourth proportional to 184.97, 255.24 and 106.30 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.97 : 255.24 = 106.30 : x
  2. Step 2: Convert to fraction form
    184.97/255.24 = 106.30/x
  3. Step 3: Cross multiply
    184.97x = 255.24 × 106.30
  4. Step 4: Simplify right side
    184.97x = 27,130.74
  5. Step 5: Solve for x
    x = 27,130.74/184.97
  6. Step 6: Final answer
    x = 146.68

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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.