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Finding the Fourth Proportional to 184.37, 254.13 and 144.92

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Solution

The fourth proportional to 184.37, 254.13 and 144.92 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.37 : 254.13 = 144.92 : x
  2. Step 2: Convert to fraction form
    184.37/254.13 = 144.92/x
  3. Step 3: Cross multiply
    184.37x = 254.13 × 144.92
  4. Step 4: Simplify right side
    184.37x = 36,827.25
  5. Step 5: Solve for x
    x = 36,827.25/184.37
  6. Step 6: Final answer
    x = 199.75

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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.