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Finding the Fourth Proportional to 184.78, 255.00 and 107.16

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Solution

The fourth proportional to 184.78, 255.00 and 107.16 is: 147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 255.00 = 107.16 : x
  2. Step 2: Convert to fraction form
    184.78/255.00 = 107.16/x
  3. Step 3: Cross multiply
    184.78x = 255.00 × 107.16
  4. Step 4: Simplify right side
    184.78x = 27,324.64
  5. Step 5: Solve for x
    x = 27,324.64/184.78
  6. Step 6: Final answer
    x = 147.88

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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.