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Finding the Fourth Proportional to 184.78, 254.94 and 107.14

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Solution

The fourth proportional to 184.78, 254.94 and 107.14 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 254.94 = 107.14 : x
  2. Step 2: Convert to fraction form
    184.78/254.94 = 107.14/x
  3. Step 3: Cross multiply
    184.78x = 254.94 × 107.14
  4. Step 4: Simplify right side
    184.78x = 27,314.27
  5. Step 5: Solve for x
    x = 27,314.27/184.78
  6. Step 6: Final answer
    x = 147.82

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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.