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Finding the Fourth Proportional to 184.54, 254.37 and 137.84

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Solution

The fourth proportional to 184.54, 254.37 and 137.84 is: 190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.54 : 254.37 = 137.84 : x
  2. Step 2: Convert to fraction form
    184.54/254.37 = 137.84/x
  3. Step 3: Cross multiply
    184.54x = 254.37 × 137.84
  4. Step 4: Simplify right side
    184.54x = 35,061.09
  5. Step 5: Solve for x
    x = 35,061.09/184.54
  6. Step 6: Final answer
    x = 190.00

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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.